To find the area of the pentagon, you can break the pentagon into shapes that you know how to find the area of. There is a triangle above the horizontal line and a trapzoid below the line.
A = 1/2bh (triangle)
1/2 x 6 x 4
A = 12 square inches
A = 1/2 h(b1 + b2)
1/2 x 5(4 + 6)
A = 25 square inches.
Add these together to get the total area.
12 + 25 = 37 square inches.