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 $A=\frac{1}{2}h(a+b)$ , not $A=12h(a+b)$ . So I will be solving for the prior.

Firstly, divide both sides by (a+b):$\frac{A}{a+b}=\frac{1}{2}h$

Next, multiply both sides by 2 and your answer is $\frac{2A}{a+b}=h$