Question

the area of the trapezoid is 450 square feet. what is the trapezoids height, h? h = feet

Explanation:

Step1: Recall trapezoid area formula

The area formula of 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, $b_1 = 18$ ft, $b_2=12$ ft and $A = 450$ square - feet.

Step2: Substitute values into formula

Substitute the given values into the formula: $450=\frac{(18 + 12)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $18+12 = 30$. So the equation becomes $450=\frac{30h}{2}$, and $\frac{30h}{2}=15h$. So we have $450 = 15h$.

Step4: Solve for h

Divide both sides of the equation $450 = 15h$ by 15. $\frac{450}{15}=h$.

Answer:

30