Question

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the area of the trapezoid is 900 square feet. what is the trapezoids height, h? h = feet

Explanation:

Step1: Recall trapezoid area formula

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, $b_1 = 14$ ft, $b_2=26$ ft and $A = 900$ square - feet.

Step2: Substitute values into formula

Substitute the given values into the formula: $900=\frac{(14 + 26)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $14+26 = 40$. So the equation becomes $900=\frac{40h}{2}$, and $\frac{40h}{2}=20h$. So we have $20h = 900$.

Step4: Solve for h

Divide both sides of the equation $20h = 900$ by 20: $h=\frac{900}{20}=45$.

Answer:

45