Question

Find the area of the following shape. You must show all work

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

Answer 1

• 51.5 unit²

Explanation:

Add two horizontal segments to divide the figure into three:

• Extend ED and add segment from the point F to BC.

Now we have two trapezoids and one triangle.

Area of triangle:

• A = 1/2*(11 - 6)*(0 - (-3)) = 1/2(5)(3) = 7.5

Area of trapezoids:

• A = 1/2[(11 - 4 + 11)*(-3 - (-6)) + (11 - 5 + 11)*(-6 - (-8))] = 1/2(18*3 + 17*2) = 44

Total area:

• 7.5 + 44 = 51.5