Question

A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, what us the height of the trapezoid?

Answer 1

To find the area of a trapezoid, we use the following formula:

`a = (1)/(2) (b1 + b2) * h`
In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.

So, we have got the following information

`a = 150`

`b1 = 14`

`b2 = 16`

Filling in the formula gives us:

`150 = \frac{{1} }{2} * (14 + 16) * h`

`150 = (1)/(2) * 30 * h`

`150 = 15 * h`
Finally we have to divide both sides by 15.

`h = 150 / 15 = 10`
Therefore, the height of the trapezoid is 10 meters.