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3 years ago

Find the area of the shaded region if the dimensions of the unshaded region are 20ft x 35ft.

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

Answer:

The correct answer option is A. 1397.46 ft^2.

Step-by-step explanation:

We are to find the area of the shaded region. For that, we will divide the figure into smaller shapes, find their areas separately and then add them up.

From the given figure, we can see that there are two semi circles )or say one whole circle if we combine them) at the ends while 2 rectangles at the top and bottom.

Radius of circle = $\frac{20+7+7}{2}$ = 17

Area of circle = $\pi r^2 = \pi \times 17^2$ = 907.92 square ft

Area of rectangles = $2(l \times w) = 2(35 \times 7)$ = 490 square ft

Area of shaded region = 907.9 + 490 = 1397.46 ft^2

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