The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's area?
See the following :
We can split the area into two figures
Triangle BCD with a height of 3 and a base of 5
Area = (3 * 5) / 2 = 7.5
Trapezoid ABDE with a height of 5 and bases of 8 and 5
Area = (1/2) (5) ( 5 + 8) = 65/2 = 32.5
Total area = ( 7.5 + 32.5) = 40
