Answer:
83 in.^2
Explanation:
The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.
The total are is the sum of the area of the rectangle and the two triangles.
area = area of rectangle + area of first triangle + area of second triangle
area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)
area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2
area = 40 in.^2 + 28 in.^2 + 15 in.^2
area = 83 in.^2