Answer:
38 square inches.
Step-by-step explanation:
First, the figure must be broken down into two shapes to solve for the area. The easiest way to do this is through a triangle and a rectangle.
This leaves a rectangle with a height of 8 in and a width of 4 in, as well as a triangle with a slant of 5 in, a base of 4 in, and height of 3 in.
Then, solve for the area of the two shapes.
Rectangle:
Area = L x W
4 x 8
= 32 inches squared.
Triangle:
Area = (1/2)(B x H)
(1/2)(4 x 3)
(1/2)(12)
= 6 inches squared.
Add these two values for a total area of 38 square inches.
