Question

Find the area of the shaded region if the dimensions of the unshaded region are 20ft x 35ft . use 3.14 for π as necessary.

Answer 1

Area of the shaded region is 1397.46 square feet.

what is area of shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

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 = $\pi r^{2}$

                      = $\pi( 17)^{2}$

                      = 907.92 square ft.

Area of rectangles =2×(l×b)

                              = 2×20×35

                              = 490 square ft

Then,

Area of the shaded region = 907.92 +490

                                            = 1397.46 square ft

Hence,Area of the shaded region is 1397.46 square ft.

To learn more about area of shaded region from the given link:

brainly.com/question/12930222

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