Question

what is the area of the parallelogram, in square units? a 20 b 25

Explanation:

Step1: Recall area formula

The area formula for a parallelogram is $A = base\times height$.

Step2: Identify base and height

From the figure, the base of the parallelogram is 5 units and the height can be found using the right - triangle on the side. By the Pythagorean theorem, if the slant side is 5 and the non - height side of the right - triangle is 3, then the height $h=\sqrt{5^{2}-3^{2}}=\sqrt{25 - 9}=\sqrt{16}=4$.

Step3: Calculate area

Substitute base $b = 5$ and height $h = 4$ into the area formula: $A=5\times4 = 20$.

Answer:

A. 20