Question

the area of the trapezoid is 27 square centimeters. what is the trapezoids height, h? h = centimeters

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area 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, $a = 5$ cm, $b = 13$ cm and $A=27$ square cm.

Step2: Substitute values into formula

Substitute the given values into the formula: $27=\frac{(5 + 13)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the numerator: $27=\frac{18h}{2}$, and $\frac{18h}{2}=9h$. So the equation becomes $27 = 9h$.

Step4: Solve for h

Divide both sides of the equation $27 = 9h$ by 9. We get $h=\frac{27}{9}=3$ cm.

Answer:

3