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2026-01-01
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<p>Last updated on<strong>September 26, 2025</strong></p>
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<p>Last updated on<strong>September 26, 2025</strong></p>
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<p>In geometry, understanding the formulas for perimeter and area is essential. The perimeter is the distance around a shape, while the area is the space within it. In this topic, we will learn the formulas for calculating the perimeter and area of various geometric figures.</p>
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<p>In geometry, understanding the formulas for perimeter and area is essential. The perimeter is the distance around a shape, while the area is the space within it. In this topic, we will learn the formulas for calculating the perimeter and area of various geometric figures.</p>
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<h2>List of Perimeter and Area Formulas for</h2>
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<h2>List of Perimeter and Area Formulas for</h2>
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<p>Calculating the perimeter and area helps us understand the dimensions<a>of</a>shapes. Let’s learn the<a>formulas</a>to calculate the perimeter and area of common geometric figures.</p>
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<p>Calculating the perimeter and area helps us understand the dimensions<a>of</a>shapes. Let’s learn the<a>formulas</a>to calculate the perimeter and area of common geometric figures.</p>
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<h2>Perimeter Formulas</h2>
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<h2>Perimeter Formulas</h2>
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<p>The perimeter is the total distance around a two-dimensional shape.</p>
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<p>The perimeter is the total distance around a two-dimensional shape.</p>
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<p>It is calculated for different shapes as follows: </p>
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<p>It is calculated for different shapes as follows: </p>
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<ul><li>Square: Perimeter = 4 × side </li>
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<ul><li>Square: Perimeter = 4 × side </li>
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<li>Rectangle: Perimeter = 2 × (length + width) </li>
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<li>Rectangle: Perimeter = 2 × (length + width) </li>
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<li>Triangle: Perimeter =<a>sum</a>of the lengths of all sides </li>
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<li>Triangle: Perimeter =<a>sum</a>of the lengths of all sides </li>
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<li>Circle: Perimeter (or Circumference) = 2 × π × radius</li>
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<li>Circle: Perimeter (or Circumference) = 2 × π × radius</li>
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</ul><h2>Area Formulas</h2>
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</ul><h2>Area Formulas</h2>
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<p>The area is the space occupied within a shape. Here are the area formulas for various shapes:</p>
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<p>The area is the space occupied within a shape. Here are the area formulas for various shapes:</p>
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<ul><li>Square: Area = side × side </li>
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<ul><li>Square: Area = side × side </li>
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<li>Rectangle: Area = length × width </li>
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<li>Rectangle: Area = length × width </li>
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<li>Triangle: Area = 1/2 ×<a>base</a>× height </li>
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<li>Triangle: Area = 1/2 ×<a>base</a>× height </li>
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<li>Circle: Area = π × radius²</li>
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<li>Circle: Area = π × radius²</li>
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</ul><h3>Explore Our Programs</h3>
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</ul><h3>Explore Our Programs</h3>
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<h2>Importance of Perimeter and Area Formulas</h2>
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<h2>Importance of Perimeter and Area Formulas</h2>
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<p>In<a>math</a>and real life, calculating the perimeter and area is crucial for various applications.</p>
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<p>In<a>math</a>and real life, calculating the perimeter and area is crucial for various applications.</p>
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<p>Understanding these formulas helps in: </p>
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<p>Understanding these formulas helps in: </p>
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<ul><li>Determining the amount of material needed for construction or crafting </li>
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<ul><li>Determining the amount of material needed for construction or crafting </li>
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<li>Planning layouts for gardens, rooms, or any spatial arrangements </li>
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<li>Planning layouts for gardens, rooms, or any spatial arrangements </li>
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<li>Solving real-world problems involving land areas, fencing, and more</li>
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<li>Solving real-world problems involving land areas, fencing, and more</li>
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</ul><h2>Tips and Tricks to Memorize Perimeter and Area Formulas</h2>
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</ul><h2>Tips and Tricks to Memorize Perimeter and Area Formulas</h2>
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<p>Students can find math formulas tricky, but with some tips and tricks, they can master them: </p>
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<p>Students can find math formulas tricky, but with some tips and tricks, they can master them: </p>
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<ul><li>Use mnemonics such as "Perimeter is the Path" and "Area is the Arena" to differentiate between them </li>
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<ul><li>Use mnemonics such as "Perimeter is the Path" and "Area is the Arena" to differentiate between them </li>
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<li>Relate the shapes to real-life objects like a<a>square</a>to a chessboard or a rectangle to a book cover </li>
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<li>Relate the shapes to real-life objects like a<a>square</a>to a chessboard or a rectangle to a book cover </li>
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<li>Create flashcards with formulas and practice rewriting them for quick recall</li>
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<li>Create flashcards with formulas and practice rewriting them for quick recall</li>
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</ul><h2>Real-Life Applications of Perimeter and Area Formulas</h2>
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</ul><h2>Real-Life Applications of Perimeter and Area Formulas</h2>
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<p>Perimeter and area formulas are widely used in real life: </p>
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<p>Perimeter and area formulas are widely used in real life: </p>
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<ul><li>In architecture, to estimate the amount of paint needed, area calculations are crucial </li>
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<ul><li>In architecture, to estimate the amount of paint needed, area calculations are crucial </li>
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<li>In agriculture, to determine the fencing required around a field, perimeter is essential </li>
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<li>In agriculture, to determine the fencing required around a field, perimeter is essential </li>
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<li>In flooring, to calculate the tiles needed for a room, area calculations are utilized</li>
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<li>In flooring, to calculate the tiles needed for a room, area calculations are utilized</li>
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</ul><h2>Common Mistakes and How to Avoid Them While Using Perimeter and Area Formulas</h2>
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</ul><h2>Common Mistakes and How to Avoid Them While Using Perimeter and Area Formulas</h2>
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<p>Errors are common when calculating perimeter and area. Here are some mistakes and how to avoid them:</p>
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<p>Errors are common when calculating perimeter and area. Here are some mistakes and how to avoid them:</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Find the perimeter of a square with a side of 6 cm.</p>
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<p>Find the perimeter of a square with a side of 6 cm.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The perimeter is 24 cm.</p>
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<p>The perimeter is 24 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Perimeter of a square = 4 × side = 4 × 6 cm = 24 cm.</p>
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<p>Perimeter of a square = 4 × side = 4 × 6 cm = 24 cm.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Calculate the area of a rectangle with a length of 8 m and a width of 3 m.</p>
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<p>Calculate the area of a rectangle with a length of 8 m and a width of 3 m.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The area is 24 m².</p>
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<p>The area is 24 m².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area of a rectangle = length × width = 8 m × 3 m = 24 m².</p>
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<p>Area of a rectangle = length × width = 8 m × 3 m = 24 m².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>A circle has a radius of 5 cm. Find its circumference.</p>
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<p>A circle has a radius of 5 cm. Find its circumference.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The circumference is 31.4 cm.</p>
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<p>The circumference is 31.4 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Circumference of a circle = 2 × π × radius = 2 × 3.14 × 5 cm = 31.4 cm.</p>
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<p>Circumference of a circle = 2 × π × radius = 2 × 3.14 × 5 cm = 31.4 cm.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Determine the area of a triangle with a base of 10 m and a height of 4 m.</p>
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<p>Determine the area of a triangle with a base of 10 m and a height of 4 m.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The area is 20 m².</p>
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<p>The area is 20 m².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area of a triangle = 1/2 × base × height = 1/2 × 10 m × 4 m = 20 m².</p>
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<p>Area of a triangle = 1/2 × base × height = 1/2 × 10 m × 4 m = 20 m².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Perimeter and Area Formulas</h2>
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<h2>FAQs on Perimeter and Area Formulas</h2>
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<h3>1.What is the formula for the perimeter of a rectangle?</h3>
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<h3>1.What is the formula for the perimeter of a rectangle?</h3>
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<p>The formula for the perimeter of a rectangle is 2 × (length + width).</p>
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<p>The formula for the perimeter of a rectangle is 2 × (length + width).</p>
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<h3>2.How do you calculate the area of a circle?</h3>
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<h3>2.How do you calculate the area of a circle?</h3>
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<p>The area of a circle is calculated using the formula: Area = π × radius².</p>
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<p>The area of a circle is calculated using the formula: Area = π × radius².</p>
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<h3>3.How is the perimeter of a triangle found?</h3>
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<h3>3.How is the perimeter of a triangle found?</h3>
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<p>The perimeter of a triangle is found by summing the lengths of all its sides.</p>
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<p>The perimeter of a triangle is found by summing the lengths of all its sides.</p>
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<h3>4.What is the perimeter of a square with side 4 m?</h3>
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<h3>4.What is the perimeter of a square with side 4 m?</h3>
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<p>The perimeter of a square with side 4 m is 16 m.</p>
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<p>The perimeter of a square with side 4 m is 16 m.</p>
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<h3>5.How can I find the area of a square?</h3>
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<h3>5.How can I find the area of a square?</h3>
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<p>The area of a square is found using the formula: side × side.</p>
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<p>The area of a square is found using the formula: side × side.</p>
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<h2>Glossary for Perimeter and Area Formulas</h2>
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<h2>Glossary for Perimeter and Area Formulas</h2>
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<ul><li><strong>Perimeter:</strong>The total distance around the edge of a geometric figure.</li>
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<ul><li><strong>Perimeter:</strong>The total distance around the edge of a geometric figure.</li>
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</ul><ul><li><strong>Area:</strong>The measure of space inside a two-dimensional shape.</li>
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</ul><ul><li><strong>Area:</strong>The measure of space inside a two-dimensional shape.</li>
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</ul><ul><li><strong>Rectangle:</strong>A quadrilateral with opposite sides equal and all angles right angles.</li>
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</ul><ul><li><strong>Rectangle:</strong>A quadrilateral with opposite sides equal and all angles right angles.</li>
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</ul><ul><li><strong>Triangle:</strong>A polygon with three edges and three vertices.</li>
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</ul><ul><li><strong>Triangle:</strong>A polygon with three edges and three vertices.</li>
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</ul><ul><li><strong>Circle:</strong>A round shape with all points equidistant from the center.</li>
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</ul><ul><li><strong>Circle:</strong>A round shape with all points equidistant from the center.</li>
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</ul><h2>Jaskaran Singh Saluja</h2>
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</ul><h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>