Hien would like to estimate the area of nevada using a trapezoid. she uses the dimensions shown as approximations. what is the approximate area of nevada?

The area is approximated by a rectangle (207 x 320) sq. mi.
AND a triangle with a base of 320 mi and height = (483-207)=276 mi.

So total approximate area
=207*320 + (1/2)320(276)
=66240+44160
=110400 sq. mi.

By the way, I have the impression this is not a college level question.  :)

Step-by-step explanation:

First you take the 142+B=180

because those 2 are supplementary

B=38

and you see the 2 lines on the 2 sides that means those two sides are equal to each other and the angles corresponding with them are also equal to each other.  

and a triangle=  180 degrees

A and E are the same so A=E

180-B(38)= 142

and because A=E you do 142/2= 71

and now that you have A and E you don't need A or B for the last part so

E+(x)=180 because those two angles are supplementary.

and E is 71 so...

71+(x)=180  180-71=x

X=109