Question

the area of the trapezoid is 1.5 square kilometers. what is the trapezoids height, h? h = kilometers

Explanation:

Step1: Recall trapezoid area formula

The area formula of a trapezoid is $A=\frac{(a + b)h}{2}$, where $A$ is the area, $a$ and $b$ are the lengths of the parallel - sides, and $h$ is the height. Here, $a = 1.4$ km, $b = 0.6$ km, and $A=1.5$ square kilometers.

Step2: Substitute values into formula

Substitute the known values into the formula: $1.5=\frac{(1.4 + 0.6)h}{2}$.

Step3: Simplify the equation

First, simplify the sum in the parentheses: $1.4+0.6 = 2$. So the equation becomes $1.5=\frac{2h}{2}$.

Step4: Solve for h

Since $\frac{2h}{2}=h$, we have $h = 1.5$ kilometers.

Answer:

$1.5$