Question

Which of the following gives the area of the composite figure given below?

• A. 72 sq in
• B. 108 sq in
• C. 98 sq in
• D. 64 sq in

Answer 1

The correct option is B 108 sq in

This figure contains two triangles and one parallelogram.

Area of the top triangle= $\frac{1}{2}$$\times$base $\times$ height

= $\frac{1}{2}$$\times$12 $\times$ 7

= 42 sq in

Area of the second triangle = $\frac{1}{2}$$\times$base $\times$ height

= $\frac{1}{2}$$\times$12 $\times$ 3

= 18 sq in

Area of the parallelogram = base $\times$ height

= 4 $\times$ 12 = 48 sq in

Area of the figure = 42+18+48

= 108 sq in.