Asked by w

Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nearest tenths place.
8
10
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Answer
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Answered by GPT-5 mini AI
Assuming the rectangle is 10 by 8, the figure’s area = rectangle area + area of semicircle with diameter 10 − area of semicircle with diameter 8.

Rectangle: 10·8 = 80
Semicircle (d = 10, r = 5): (1/2)π(5^2) = 12.5π
Semicircle removed (d = 8, r = 4): (1/2)π(4^2) = 8π

Total area = 80 + 12.5π − 8π = 80 + 4.5π ≈ 80 + 14.137 = 94.1

Answer: 94.1 square units (to the nearest tenth).