Question

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​

Answer 1

h = 10 m

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)