Step-by-Step Lesson

Learn: Area and Perimeter

iGCSE Mathematics

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Steps in this lesson (18)

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Welcome!Today we’ll explore Area and Perimeter. These concepts are essential for solving real-world problems like designing spaces or fencing gardens. Let’s dive in!

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What is Area?Area measures the space inside a shape. It’s calculated using specific formulas depending on the shape, such as length × width for a rectangle. Area is expressed in square units, like cm² or m².

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What is Perimeter?Perimeter is the distance around the outer edge of a shape. It’s calculated by summing up the lengths of all its sides. Perimeter is expressed in linear units like cm or m.

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Multiple ChoiceInteractive

Quick check: Which of the following measures the space inside a shape?

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Formulas for RectanglesThe formula for area of a rectangle is length × width. For perimeter, add all four sides: 2 × (length + width).

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Math EquationInteractive

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Formulas for TrianglesThe formula for the area of a triangle is ½ × base × height. The perimeter depends on the sum of all three sides.

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MatchingInteractive

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CirclesFor a circle, the area formula is π × radius², and the perimeter (circumference) formula is 2 × π × radius.

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Fill in the BlankInteractive

The area of a circle is calculated using the formula π × {{blank0}}².

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Compound ShapesTo find the area or perimeter of compound shapes, divide them into simpler shapes like rectangles or triangles, calculate their measurements, and combine the results.

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Multi-SelectInteractive

Which of the following are true about compound shapes? (Select all that apply)

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Real-World ApplicationsUnderstanding area and perimeter is helpful for tasks like painting walls, laying flooring, or fencing gardens. For example, knowing the area ensures you buy enough materials.

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Multiple ChoiceInteractive

Quick check: If a rectangle has a length of 10 m and width of 4 m, what is its perimeter?

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Review Time!Great work! You’ve learned about area and perimeter for various shapes. Now let’s test your understanding with a few questions.

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Math EquationInteractive

Match the items on the left with their correct pairs on the right

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Multi-SelectInteractive

Which of the following are true about circles? (Select all that apply)

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MatchingInteractive

Match the items on the left with their correct pairs on the right

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