Question

the area of the trapezoid is 9 square centimeters. what is the trapezoids height, h? h = centimeters

Explanation:

Step1: Recall area formula

The area formula of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height. Here, $a = 2$ cm, $b = 4$ cm and $A=9$ square cm.

Step2: Substitute values into formula

Substitute the known values into the formula: $9=\frac{(2 + 4)h}{2}$.

Step3: Simplify the equation

First, simplify the denominator: $9=\frac{6h}{2}$, and $\frac{6h}{2}=3h$. So the equation becomes $3h = 9$.

Step4: Solve for h

Divide both sides of the equation $3h = 9$ by 3. We get $h=\frac{9}{3}=3$.

Answer:

3