QuestionSolve for $h$ in the equation $A=\frac{1}{2}(B+b) h$ .

Studdy Solution

STEP 1

Assumptions1. The formula given is for the area of a trapezoid $A=\frac{1}{}(B+b) h$ . We are solving for $h$ , the height of the trapezoid3. $A$ is the area of the trapezoid4. $B$ and $b$ are the lengths of the two bases of the trapezoid

STEP 2

First, we need to isolate the term with $h$ in it. We can do this by multiplying both sides of the equation by2.
$2A = (B+b) h$

STEP 3

Next, we divide both sides of the equation by $(B+b)$ to solve for $h$ .
$h = \frac{2A}{B+b}$ This is the formula for the height of a trapezoid given the area and the lengths of the two bases.

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