A window is made up of a rectangle 14 cm wide and 10 cm tall, with a semicircle attached to the top. The diameter of the semicircle equals the width of the rectangle. What is the total area of the window? (Use π = 22/7)
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Worked Solution
Step 1: Radius of semicircle = diameter ÷ 2 = 14 ÷ 2 = 7 cm.
Step 2: Area of rectangle = 14 × 10 = 140 cm².
Step 3: Area of semicircle = ½ × πr² = ½ × 22/7 × 7² = ½ × 22/7 × 49 = ½ × 154 = 77 cm².
Step 4: Total area = 140 + 77 = 217 cm².
Answer: 217 cm²
Correct answer: 217 cm²
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