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?

Question

asked Jul 12, 2021 104k views

1 Answer

Diogenesgg · Answer 1 · 2021-07-16T16:14:08+0000

Answer:

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