Question

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the area of the trapezoid is 600 square centimeters. what is the trapezoids height, h? h = centimeters

Explanation:

Step1: Recall area formula

The area formula of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height. Here $a = 16$ cm, $b = 24$ cm and $A=600$ square cm.

Step2: Substitute values into formula

Substitute the given values into the formula: $600=\frac{(16 + 24)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $16+24 = 40$. So the equation becomes $600=\frac{40h}{2}$, and $\frac{40h}{2}=20h$. So we have $600 = 20h$.

Step4: Solve for h

Divide both sides of the equation $600 = 20h$ by 20. $h=\frac{600}{20}=30$.

Answer:

30