Question

The following diagram shows that the state of Nevada is shaped somewhat like a trapezoid. Which measurement is the approximate area of the state of Nevada 320 miles, 200 miles, and 480 miles?

Answer 1

`110,400\ mi^2`

Explanation:

The picture of the question in the attached figure

we know that

The area of a trapezoid is equal to

`A=(1)/(2)[b_1+b_2]h`

where

b_1 and b_2 are the length of the parallel bases

h is the height (perpendicular distance between the parallel bases)

we have

`b_1=210\ mi\\b_2=480\ mi\\h=320\ mi`

substitute

`A=(1)/(2)[210+480]320=110,400\ mi^2`