Question

Can someone please find the area of this shape and show the work??

A) 6m^2
B) 18m^2
C) 21.5 m^2
D) 24.3 m^2
E) 30.3 m^2

Answer 1

E) 30.3 m^2

Explanation:

First, find the area of the trapezoid, which is (a+b )h/2, or base 1 plus base 2 times height divided by 2. Solving, this gives you (2+10)4/2, or 24 m^2.

Next, find the area of the semicircle which is 1/2*pi*r^2, where r=d/2. Plugging this in, 1/2*pi*(4/2)^2 gives you about 6.3 m^2.

Adding, 24+6.3=30.3 m^2.