Question

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

Explanation:

Step1: Recall the area formula of trapezoid

The area formula of 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 \(a = 0.6\) km, \(b=1.6\) km, and \(A = 1.32\) square kilometers.

Step2: Substitute the values into the formula

Substitute \(A = 1.32\), \(a = 0.6\), and \(b = 1.6\) into \(A=\frac{(a + b)h}{2}\), we get \(1.32=\frac{(0.6 + 1.6)h}{2}\).
First, simplify the sum of the parallel sides: \(0.6+1.6 = 2.2\). So the equation becomes \(1.32=\frac{2.2h}{2}\).
Since \(\frac{2.2h}{2}=1.1h\), the equation is \(1.32 = 1.1h\).

Step3: Solve for \(h\)

To solve for \(h\), divide both sides of the equation \(1.32 = 1.1h\) by \(1.1\). So \(h=\frac{1.32}{1.1}\).
\(h = 1.2\)

Answer:

\(1.2\)