Question

the area of a parallelogram is 24 square units. one side of the parallelogram is 36 units long. the other side is 4 units long. which measurements could be the parallelogram’s height? choose all the correct answers. a $\frac{1}{6}$ unit b $\frac{2}{3}$ unit c $\frac{3}{2}$ units d 6 units e 9 units

Explanation:

Step1: Recall area formula

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

Step2: Calculate height with base 36

If the base $b = 36$ and $A=24$, then $height=\frac{A}{b}=\frac{24}{36}=\frac{2}{3}$.

Step3: Calculate height with base 4

If the base $b = 4$ and $A = 24$, then $height=\frac{A}{b}=\frac{24}{4}=6$.

Answer:

B. $\frac{2}{3}$ unit, D. 6 units