Question

A trapezoid has an area of 360 square feet. The measures of the bases are 11

units and 13 units, respectively. What is the height of this trapezoid?*

Answer 1

Okay, to solve this, we need to work backwards.

the formula for the area of a trapezoid is ...

area =
`(a + b)/(2)` × h

a = measure of base 1

b = measure of base 2

Let's plug everything in and then solve for h!

360 =
`(11 + 13)/(2)` × h

360 =
`(24)/(2)` × h

360 = 12 × h

360 / 12 = h

30 = h

Now we have our answer!

the height of the trapezoid is 30 feet!

I hope I helped :)