A composite shape has a rectangle (10 cm × 4 cm) with a semicircle on one short side. What is the total area of the shape?
Show answer & explanation
Correct answer: C
Explanation
Length of the rectangle = 10 cm
Width of the rectangle = 4 cm
Diameter of the semicircle = 4 cm
Radius = 2 cm
Area of the rectangle = 10 × 4 = 40 cm²
Area of the semicircle = (1/2) × (22/7) × 2²
= (1/2) × (22/7) × 4
= 44/7 ≈ 6.28 cm²
Total area = 40 + 6.28
= 46.28 cm²