Question

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?

Answer 1

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.  :)

Answer 2

The approximate area of Nevada is  110400 sq. mi.

Given that

Hien would like to estimate the area of Nevada using a trapezoid.

She uses the dimensions shown as approximations.

We have to determine

What is the approximate area of Nevada?

According to the question

In the given figure the upper part is a rectangle and the lower part is the triangle.

The area of the upper rectangle is given by;

$\rm Area = length \times width$

Where the length of the rectangle is 207 mi.

And the width of the rectangle is 320 mi.

Then,

The area of the rectangle is,

$\rm Area = length \times width\\ \\ \rm Area = 207 \times 320\\ \\ Area = 66,240$

And the area of the lower part of the triangle is given by,

$\rm Area = \dfrac{1}{2} \times 320 \times (483-207)\\ \\ Area = \dfrac{1}{2} \times 320 \times (276)\\ \\ Area = \dfrac{1}{2} \times 88320\\ \\ Area = \dfrac{88320}{2}\\ \\ Area = 44160$

Therefore,

The approximate area of Nevada is,

Area = Area of rectangle + Area of triangle

Area = 66240 + 44160

Area = 110400 sq. mi.

Hence, the approximate area of Nevada is  110400 sq. mi.

To know more about Trapezoid click the link given below.

https://brainly.com/question/7629845