Question

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

Answer 1

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

Answer 2

ANSWER


`400 \: {in}^(2)`

Step-by-step explanation

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



The area of the parallelogram is


`= base * height`


The base of the parallelogram is 20 inches.




The height of the parallelogram is 16 inches.


The area of the parallelogram is


`= 20 * 16 \: i {n}^(2)`



`=320 \: i {n}^(2)`





The area of the triangle is


`= (1)/(2) * base * 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


`= (1)/(2) * 20 * 8 \: {in}^(2)`




`= 10 * 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)`