Question

there is a pair of parallel sides in the following shape. what is the area of the shape?

Explanation:

Step1: Identify the shape

The shape is a trapezoid with parallel - sides lengths \(a = 2\) and \(b = 7\), and height \(h=12\).

Step2: Recall the area formula for a trapezoid

The area formula of a trapezoid is \(A=\frac{(a + b)h}{2}\).

Step3: Substitute the values into the formula

Substitute \(a = 2\), \(b = 7\), and \(h = 12\) into the formula: \(A=\frac{(2 + 7)\times12}{2}\).
First, calculate the sum of the parallel sides: \(2+7 = 9\).
Then, multiply by the height: \(9\times12=108\).
Finally, divide by 2: \(A=\frac{108}{2}=54\).

Answer:

54