Answer:
27.5 in.^2
Step-by-step explanation:
The figure can be broken up along the dashed line into two simple polygons, a trapezoid to the right and a triangle to the left.
The triangle at left has base 4 in. an height 5 in.
The trapezoid at right has parallel bases of 5 in. and 2 in., and a height of 5 in.
total area = area of triangle + area of trapezoid
total area = BH/2 + (b1 + b2)h/2
total area = (4 in.)(5 in.)/2 + (5 in. + 2 in.)(5 in.)/2
total area = 10 in.^2 + 17.5 in.^2
total area = 27.5 in.^2
