Question

The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is

1,170 square inches. Write an equation to find the height of the table.
HELPP

Answer 1

Explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2 Substitute the givens into the formula

1170 = 90 * h/ 2 Divide by 2 on the right.

1170 = 45 * h Divide both sides by 45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.