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

By applying the values to the formula for the area of a trapezoid, the approximate area of Nevada is found to be 110,400 square miles.

To calculate the approximate area of Nevada using the dimensions given for a trapezoid, we use the formula for the area of a trapezoid, A = (1/2) * (base1 + base2) * height.

Here, the length of one base is 483 miles, the length of the other base is 207 miles, and the altitude (or height) is 320 miles.

Applying the values to the formula, we get:

A = (1/2) * (483 miles + 207 miles) * 320 miles

A = (1/2) * 690 miles * 320 miles

A = 345 miles * 320 miles

A = 110,400 square miles

Therefore, the approximate area of Nevada, using the given trapezoidal shape, is 110,400 square miles.