The cost for paint to cover the exterior of the four sides of a shed was $80. A can of paint costs $20 and will cover 24 square feet. The shed consists of four sides, each shaped like a trapezoid. They each have one base of 5 feet and one base of 7 feet. What is the altitude of each trapezoid?

2 answers

The altitude of each trapezoid is 8 feet.

To calculate this, we need to find the area of each trapezoid. The area of a trapezoid is (base1 + base2) / 2 * altitude.

So, we can set up the equation as follows:

(5 + 7) / 2 * altitude = 24

12 * altitude = 24

Altitude = 24 / 12

Altitude = 8 feet
wrong again!!!!

number of cans of paint = 80/20 = 4
so we have 4 cans for 4 equal sides
so, 1 can per side , or 24 square ft per side

(1/2)(5+7)(h) = 24
12h = 48
h = 4 <----- altitude