a trapezoide has an area of 150 square meters. If the bases are 14 meters and 16 meters, what is the height of the trapezoid

h = 10 m

Step-by-step explanation:

The formula for area of a trapezoid is

A = (1/2) (B + b) h where B is the bottom base, b is the top base, and h is the height.

We are given B = 16, b = 14, and A = 15, plug those values in and simplify

150 = (1/2) (16 + 14) (h)

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

150 = (15) h (half of 30 is 15)

10 m = h (divide both sides by 15 to isolate h)