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:
$a = \frac{1}{2} (b1 + b2) \times h$
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:
$150 = \frac{{1} }{2} \times (14 + 16) \times h$
$150 = \frac{1}{2} \times 30 \times h$
$150 = 15 \times h$
Finally we have to divide both sides by 15.
$h = 150 \div 15 = 10$
Therefore, the height of the trapezoid is 10 meters.