Question

find the area of this parallelogram. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the formula for the area of a parallelogram

The formula for the area of a parallelogram is \(A = base\times height\).

Step2: Identify the base and height

In the given parallelogram, the base \(b = 16\) in and the height \(h=14\) in. (Note: The side length of \(11\) in is not the height corresponding to the base of \(16\) in. The height is the perpendicular distance between the two parallel sides. Here, the height value given as \(14\) in is the correct value to use with the base of \(16\) in for area calculation)

Step3: Calculate the area

Substitute \(b = 16\) and \(h = 14\) into the formula \(A=b\times h\). So, \(A=16\times14\). Using the multiplication operation \(16\times14=(10 + 6)\times14=10\times14+6\times14=140+84 = 224\)

Answer:

\(224\space in^{2}\)