Question

the area of the trapezoid is 0.72 square feet. what is the trapezoids height, h? h = feet

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $A$ is the area, $b_1$ and $b_2$ are the lengths of the bases, and $h$ is the height. Here, $b_1=0.6$ ft, $b_2 = 1.2$ ft and $A = 0.72$ square - feet.

Step2: Substitute values into formula

We substitute the known values into the formula: $0.72=\frac{(0.6 + 1.2)h}{2}$.

Step3: Simplify the equation

First, simplify the sum of the bases: $0.6+1.2 = 1.8$ ft. So the equation becomes $0.72=\frac{1.8h}{2}$, and $\frac{1.8h}{2}=0.9h$. So, $0.9h=0.72$.

Step4: Solve for h

Divide both sides of the equation $0.9h = 0.72$ by $0.9$. We get $h=\frac{0.72}{0.9}=0.8$ ft.

Answer:

$0.8$