Question

A map of Nevada in the shape of a trapezoid is shown. The length of one base is 483 miles, the length of the other base is 207 miles, and the length of a side is 405 miles. The length of the altitude is 320 miles. 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? sq. mi

Answer 1

Hey there! I'm happy to help!

To find the area of a trapezoid, you add the lengths of the two bases, divide by two, and then multiply by the height.

We add our two bases.

483+207=690

We divide by 2.

690/2=345

We multiply by the height.

345(320)=110,400

Therefore, Hien can estimate that the area of Nevada is 110,400 square miles.

Have a wonderful day! :D

Answer 2

The formula for area of a trapezoid is $(b_{1} + b_{2})*\frac{1}{2} h=A$

b=base

h=height AKA altitude.

A=area.

Base 1 is 483.

Base 2 is 405.

483+405=888

888×320 (h) = 284160

284160 × $\frac{1}{2}$ = 142080

The approximate area of Nevada is 142080 square miles.

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