The answer is: 50.2 ft² .
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Explanation:
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The answer would be the area of the rectangle: 12 ft * 5 ft = 60 ft² ;
MINUS {"1/2" of the area of the circle).
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The area of the circle, "A": A = π r² .
π ≈ 3.14 ; "r", the radius, is 1/2 the diameter of the circle.
The diameter of the circle is: 5 ft.
r = (1/2) * (5 ft) = (2.5 ft).
A = π r² = (3.14) * (2.5 ft)² = (3.14) * (2.5 ft) * (2.5 ft) = 19.625 ft² = 19 5/8 ft² .
1/2 the area of the circle; which is the shaded region; is:
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(19.625 ft²) / 2 = 9.8125 ft² = 9 11/16 ft².
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The area of the unshaded region is:
60 ft² − 9.8125 ft² = 50.1875 ft² ; → round to the nearest tenth → 50.2 ft² .
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