Question

hexagon abcdef has vertices A(-2,4),B(0,4),C(2,1),D(5,1), E(5,-2), and F(-2, -2). Sketch the figure on a coordinate plane. What is the area of the hexagon

Answer 1

Then the total area is 9+21 = 30 units^2.

Explanation:

Answer 2

The area is 30 square units, as calculated by my geometry program, GeoGebra. ___
The top portion can be considered a trapezoid with bases 2 and 4 and height 3, hence area (2+4)/2*3 = 9. The bottom portion is a rectangle 7*3 = 21 in area. Then the total area is 9+21 = 30 units^2.