Question

What is the area of the figure below?

8 m
8 m
3 m
12 m
2.
O 96 m
O
76 m 2
72 m 2
86 m 2

Answer 1

9514 1404 393

Answer:

86 m^2

Explanation:

The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.

Then the figure's area is ...

A = LW - (1/2)bh

A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2

A = 86 m^2

The area of the figure is 86 square meters.