Question

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

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 $b_1 = 4$m, $b_2=10$m and $A = 42$m².

Step2: Substitute values

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

Step3: Simplify equation

First simplify the denominator: $42=\frac{14h}{2}$, and $\frac{14h}{2}=7h$. So the equation becomes $42 = 7h$.

Step4: Solve for h

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

Answer:

6