Question

the area of the trapezoid is 36 square millimeters. 6 mm 5 mm h 5 mm 12 mm what is the trapezoids height, h? h = millimet

Explanation:

Step1: Recall area formula

The area formula for a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the bases and $h$ is the height. Here, $b_1 = 6$ mm, $b_2=12$ mm and $A = 36$ square - mm.

Step2: Substitute values into formula

Substitute the known values into the formula: $36=\frac{(6 + 12)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $36=\frac{18h}{2}$, and $\frac{18h}{2}=9h$. So the equation becomes $36 = 9h$.

Step4: Solve for h

Divide both sides of the equation $36 = 9h$ by 9. We get $h=\frac{36}{9}=4$ mm.

Answer:

4