Question

a trapezoid has 83 yards base and 47.3 yards base, as well as 53 yards height. what is the area? square yards

Explanation:

Step1: Recall the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1\) and \(b_2\) are the lengths of the bases and \(h\) is the height.

Step2: Substitute the given values into the formula

Here, \(b_1 = 83\), \(b_2=47.3\), and \(h = 53\). So \(A=\frac{(83 + 47.3)\times53}{2}\).
First, calculate the sum of the bases: \(83+47.3=130.3\).
Then, multiply by the height: \(130.3\times53 = 6905.9\).
Finally, divide by 2: \(A=\frac{6905.9}{2}=3452.95\).

Answer:

\(3452.95\)