Question

the area of the parallelogram is 65 ft². what is its height? 13 ft

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \), or \( A = b \times h \), where \( b \) is the length of the base and \( h \) is the height.

Step2: Identify the known values and solve for \( h \)

We know that the area \( A = 65 \, \text{ft}^2 \) and the base \( b = 13 \, \text{ft} \). We need to solve for \( h \).

From the formula \( A = b \times h \), we can rearrange it to solve for \( h \) by dividing both sides by \( b \):

\( h = \frac{A}{b} \)

Substitute the known values of \( A \) and \( b \) into the formula:

\( h = \frac{65}{13} \)

Step3: Perform the division

\( \frac{65}{13} = 5 \)

Answer:

The height of the parallelogram is \( 5 \) feet.