Answer:
37.4 ft^2
Step-by-step explanation:
The area of the parallelogram is given by ...
A = bh = (8 ft)(7 ft) = 56 ft^2
The area of the right triangle is given by ...
A = (1/2)bh = (1/2)(3 ft)(4 ft) = 6 ft^2
The area of the circle is given by ...
A = πr^2 = π(2 ft)^2 = 4π ft^2 ≈ 12.6 ft^2
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The shaded area is the area of the parallelogram less the areas of the unshaded triangle and circle:
(56 ft^2) -(6 ft^2) -(12.6 ft^2) = 37.4 ft^2 . . . . shaded area
