Question

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.A=12h(a+

b. Solve for h.

Answer 1

Small correction, the area of a trapezoid is
`A=(1)/(2)h(a+b)` , not
`A=12h(a+b)` . So I will be solving for the prior.

Firstly, divide both sides by (a+b):
`(A)/(a+b)=(1)/(2)h`

Next, multiply both sides by 2 and your answer is
`(2A)/(a+b)=h`