Question

Solve *please show work* :)

Answer 1

Answer:

E.200.5ft²

Step-by-step explanation:

To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.

Area of square = s² where s = side length

It appears the given side length is 12 so s = 12

Which means area = 12² = 144ft²

For semi circle

Area = 1/2(πr² ), where r is the radius

The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12

To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6

We have area = 1/2(πr² ) and r = 6

So area = 1/2(π6²)

==> evaluate exponent

Area = 1/2(36π)

==> take one half of 36

Area = 18π

==> multiply 18 and π

Area = about 56.5

Finally we add the two areas together

Total area = 56.5 + 144 = 200.5ft²