Question

the area of the parallelogram below is 96 mm². what is its height? (not drawn to scale) 12 mm a 12 mm b 8 mm c 9 mm d 4 mm

Explanation:

Step1: Recall area formula

The area formula of a parallelogram is $A = base\times height$, where $A$ is the area, the base is given as 12 mm and $h$ is the height we want to find. So, $A=12h$.

Step2: Solve for height

We know that $A = 96$ mm². Substitute $A = 96$ into the formula $A = 12h$. We get the equation $96=12h$. To solve for $h$, divide both sides of the equation by 12: $h=\frac{96}{12}$.

Step3: Calculate the value of h

$\frac{96}{12}=8$ mm.

Answer:

B. 8 mm