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?

Respuesta :

Answer:

4 miles

Step-by-step explanation:

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

[tex]Area = \frac{a+b}{2} * h[/tex]

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 = [tex]\frac{1.2+2.4}{2}*h[/tex]

[tex]14.4 = 3.6h\\Dividing\ both\ sides\ by\ 3.6\\14.4/3.6 = 3.6h/3.6\\h =4 miles[/tex]

The height of the trapezoid is 4miles