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3 years ago

What is the area of this figure? Enter your answer in the box. ___ in²

Mathematics

2 answers:

Katena32 [7]3 years ago

5 0

16 * 20 + .5 * 20 * 8 = 320 + 80 = 400

UNO [17]3 years ago

3 0

ANSWER

$400 \: {in}^{2}$

EXPLANATION

The figure is made up of a parallelogram and a right angle triangle.

The area of the parallelogram is

$= base \times height$

The base of the parallelogram is 20 inches.

The height of the parallelogram is 16 inches.

The area of the parallelogram is

$= 20 \times 16 \: i {n}^{2}$

$=320 \: i {n}^{2}$

The area of the triangle is

$= \frac{1}{2} \times base \times height$

The base of the parallelogram is also 20 inches because opposite sides of a parallelogram are equal in length.

This implies that the area of the triangle is

$= \frac{1}{2} \times 20 \times 8 \: {in}^{2}$

$= 10 \times 8 \: {in}^{2}$

$= 80 {in}^{2}$

We add the two areas to get the area of the figure.

$= 320 + 80 \: {in}^{2}$

$= 400 \: {in}^{2}$

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