Question

the area of the trapezoid is 150 square millimeters. what is the trapezoids height, h? h = millimeters

Explanation:

Step1: Recall area formula for trapezoid

The area formula of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $A$ is the area, $b_1$ and $b_2$ are the lengths of the bases, and $h$ is the height. Here $b_1 = 7$ mm, $b_2=13$ mm and $A = 150$ square - mm.

Step2: Substitute values into formula

Substitute the given values into the formula: $150=\frac{(7 + 13)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $7+13 = 20$. So the equation becomes $150=\frac{20h}{2}$. And $\frac{20h}{2}=10h$, so $150 = 10h$.

Step4: Solve for h

Divide both sides of the equation $150 = 10h$ by 10. We get $h=\frac{150}{10}=15$ mm.

Answer:

15