Q:

The area of the figure is _______ square units.

Accepted Solution

A:
Divide the figure into 4 parts: a triangle, rectangle, rectangle, and triangle.

Area of triangle: 1/2(base · height)
Area of rectangle: (length · width)

Solve for the 2 triangles:
Triangle #1: 1/2(6 · 8)
                      1/2(48) = 24 units²
Triangle #2: 1/2(3 · 8)
                      1/2(24) = 12 units²

Solve for the 2 rectangles:
Rectangle #1: (3 · 8) = 24 units²

Rectangle #2: (9 · 8) = 72 units²

Add up all the measurements.

24 + 12 + 24 + 72 = 132 units²

The area of the figure is 132 units².