Let’s solve this step by step.
The shape is made of two parts:
- A rectangle on the right
- A half-circle on the left
We need to find the total area of the whole shape.
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Step 1: Area of the rectangle
The rectangle has:
- Length = 15 inches
- Width = 10 inches
Area of a rectangle = length × width
So, 15 × 10 =
150 square inches
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Step 2: Area of the half-circle
The half-circle is attached to the side of the rectangle that is 10 inches long. That means the diameter of the circle is 10 inches.
So, radius = diameter ÷ 2 = 10 ÷ 2 =
5 inches
Area of a full circle = π × r²
Using π ≈ 3.14, we get:
Full circle area = 3.14 × 5² = 3.14 × 25 =
78.5 square inches
But we only have a *half* circle, so divide by 2:
Half-circle area = 78.5 ÷ 2 =
39.25 square inches
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Step 3: Add both areas together
Total area = rectangle + half-circle
= 150 + 39.25 =
189.25 square inches
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Final Answer:
189.25 in²
Parent Tip: Review the logic above to help your child master the concept of composite figure.
