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​

Respuesta :

Answer:

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)