Question

the area of the trapezoid is 63 square feet. what is the trapezoids height, h? h = feet

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, $b_1 = 4$ ft, $b_2=10$ ft and $A = 63$ square - feet.

Step2: Substitute values into formula

Substitute the known values into the formula: $63=\frac{(4 + 10)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $4 + 10=14$. So the equation becomes $63=\frac{14h}{2}$, and $\frac{14h}{2}=7h$. So we have $63 = 7h$.

Step4: Solve for h

Divide both sides of the equation $63 = 7h$ by 7. $\frac{63}{7}=h$.

Answer:

9