Question

the area of the trapezoid is 42 square meters. what is the trapezoids height, h? h = meters

Explanation:

Step1: Recall trapezoid 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, $a = 4$ m, $b = 10$ m and $A=42$ square meters.

Step2: Substitute values into formula

Substitute the given values into the formula: $42=\frac{(4 + 10)h}{2}$.

Step3: Simplify the equation

First, simplify the denominator: $\frac{(4 + 10)h}{2}=\frac{14h}{2}=7h$. So the equation becomes $42 = 7h$.

Step4: Solve for h

Divide both sides of the equation $42 = 7h$ by 7. We get $h=\frac{42}{7}=6$.

Answer:

6