Question

the area of the trapezoid is 1.32 square kilometers.
0.6 km
1.5 km
1.6 km
what is the trapezoids height, h?
h = kilometers

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $A = \frac{1}{2}(a + b)h$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Substitute known values

We know $A = 1.32$ km², $a = 0.6$ km, $b = 1.6$ km. Substitute into the formula:
$1.32 = \frac{1}{2}(0.6 + 1.6)h$

Step3: Simplify the parenthesis

Calculate the sum inside the parenthesis:
$0.6 + 1.6 = 2.2$
So the equation becomes $1.32 = \frac{1}{2} \times 2.2 \times h$

Step4: Simplify the coefficient of h

$\frac{1}{2} \times 2.2 = 1.1$, so:
$1.32 = 1.1h$

Step5: Solve for h

Divide both sides by 1.1:
$h = \frac{1.32}{1.1}$

Answer:

$1.2$ kilometers