Question

The figure shown has a parallelogram on top and a rectangle below it: A figure has a rectangular portion, and above the rectangle there is a parallelogram. The length of the rectangle is 53.3 inches, the width of the rectangle is 6.8 inches, and the height of the parallelogram is 11.1 inches. What is the total area of the figure?

362.44 square inches
954.07 square inches
1,183.26 square inches
1,908.14 square inches

Answer 1

954.07 square inches

Explanation:

The area of a parallelogram is given by the formula A = bh. Since the parallelogram sits on top of the rectangle, this means the length of the rectangle will be the base of the parallelogram. The height of the parallelogram is 11.1. This makes the area

A = 53.3(11.1) = 591.63.

The area of a rectangle is given by the formula A = lw. The length is 53.3 and the width is 6.8; this makes the area

A = 53.3(6.8) = 362.44.

Together this gives us an area of

A = 591.63+362.44 = 954.07 square inches