Question

find the area of this trapezoid. be sure to include the correct unit in your answer. 9 cm 6 cm 14 cm 8 cm

Explanation:

Step1: Recall the trapezoid area formula

The formula for the area 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, \(a = 6\space cm\), \(b=14\space cm\), and \(h = 8\space cm\).

Step2: Substitute the values into the formula

Substitute \(a = 6\), \(b = 14\), and \(h=8\) into the formula: \(A=\frac{(6 + 14)\times8}{2}\). First, calculate the sum of the parallel sides: \(6+14 = 20\). Then, multiply by the height: \(20\times8=160\). Finally, divide by 2: \(\frac{160}{2}=80\).

Answer:

\(80\space cm^{2}\)