979 views
3 votes
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

User Daxim
by
5.2k points

2 Answers

3 votes

Answer:

110,400

Explanation:

User Zivile
by
4.8k points
5 votes

Answer:

110,400 square mi

Explanation:

The diagram is attached to the answer

Area of a trapezoid=(1/2)(h)(b1+b2)

1/2*320(483+207)

=1/2*320*690

=1/2*220,800

=110,400 square mi

Or alternatively

Find the Area of a rectangle + Area of a triangle

Area of a rectangle=Length*width

=207*320

=66,240

Height of the triangle=total height - height of the rectangle

=483-207

=276

Area of a triangle=1/2*base*heght

=1/2*320*(483-207)

=1/2*320*276

=1/2*88,320

=44,160

Area of the trapezoid=Area of a rectangle + Area of a triangle

=66,240+44160

=110,400 square mi

Hien would like to estimate the area of Nevada using a trapezoid. She uses the dimensions-example-1
User Sisley
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.