Question

the area of the trapezoid is 250 square yards. what is the trapezoids height, h? h = yards

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area 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, $b_1 = 7$ yd, $b_2=13$ yd and $A = 250$ square - yards.

Step2: Substitute values into formula

Substitute the given values into the formula: $250=\frac{(7 + 13)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $7+13 = 20$. So the equation becomes $250=\frac{20h}{2}$. And $\frac{20h}{2}=10h$, so $10h = 250$.

Step4: Solve for h

Divide both sides of the equation $10h = 250$ by 10. We get $h=\frac{250}{10}=25$.

Answer:

25