Question

determine the area of the shape below. you only need to enter the final answer value of the shapes area. you do not need to enter the unit label.

Explanation:

Step1: Identify the shape

The shape is a trapezoid.

Step2: Recall the area formula for a trapezoid

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.

Step3: Assign values to the formula

Here, \(a = 16\), \(b = 12\), and \(h=7\).

Step4: Substitute values into the formula

\(A=\frac{(16 + 12)\times7}{2}\)
First, calculate the sum of the parallel sides: \(16+12 = 28\).
Then, multiply by the height: \(28\times7=196\).
Finally, divide by 2: \(\frac{196}{2}=98\).

Answer:

98