Question

the area of the trapezoid is 40 square units. what is the height of the trapezoid? 3 units 5 units 10 units 12 units

Explanation:

Step1: Recall area formula

The area formula for 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, $a = 6$, $b = 10$ and $A=40$.

Step2: Substitute values into formula

Substitute the known values into the formula: $40=\frac{(6 + 10)h}{2}$.
First, simplify the denominator: $40=\frac{16h}{2}$.
Since $\frac{16h}{2}=8h$, the equation becomes $40 = 8h$.

Step3: Solve for h

Divide both sides of the equation $40 = 8h$ by 8. We get $h=\frac{40}{8}=5$.

Answer:

5 units