Question

1. given the formula for the area of a trapezoid, (a=\frac{1}{2}h(b_1 + b_2)), solve the equation for (h)

Explanation:

Step1: Isolate the variable h

We start with the formula $A=\frac{1}{2}h(b_1 + b_2)$. First, multiply both sides by 2 to get rid of the fraction.
$2A=h(b_1 + b_2)$

Step2: Solve for h

Divide both sides of the equation $2A=h(b_1 + b_2)$ by $(b_1 + b_2)$ to isolate h.
$h=\frac{2A}{b_1 + b_2}$

Answer:

$h=\frac{2A}{b_1 + b_2}$