Answer:
Answer is option B. 1,111.84 ft²
Step-by-step explanation:
The given dimensions of the un shaded region or rectangle are 18 feet x 22 feet.
Now we have additional 7 feet at both ends to form the diameter of the semicircle, making it [tex]14+18=32[/tex] feet
Radius = [tex]\frac{32}{2}=16[/tex] feet
We have 2 semicircles, one at each end. If we combine it it forms a circle.
Area of the circle (2 semicircles) = [tex]\pi r^{2}[/tex]
= [tex]3.14\times(16)^{2}[/tex] = 803.84 square feet
Now we will find the area of the shaded rectangles above and below the non shaded one. The length is 22 feet and width is 7 feet.
So, area = [tex]22\times7=154[/tex] square feet
We have 2 similar rectangles. So, area of both = [tex]2\times154=308[/tex] square feet
So, total area of shaded region = [tex]803.84+308=1111.84[/tex] square feet.
