Question

A park is shaped like a trapezoid. It has an area of 7.2 square miles. One base is 1.2 miles,and the other base is 2.4 miles long. What is the height of the trapezoid?

Answer 1

4 miles

Explanation:

Formula for calculating the area of a trapezoid is expressed as shown;

`Area = (a+b)/(2) * h`

a and b are the length of the bases of the trapezoid and h is its height

Given a = 1.2miles, b = 2.4miles, Area = 7.2 square miles

Substituting this values into the formula to get the height;

7.2 =
`(1.2+2.4)/(2)*h`

`14.4 = 3.6h\\Dividing\ both\ sides\ by\ 3.6\\14.4/3.6 = 3.6h/3.6\\h =4 miles`

The height of the trapezoid is 4miles