Question

5 connecting concepts in exercises 45–48, find 45.

diagram: parallelogram with side lengths 9 ft, base 9 ft, height ( h ) (with right angle symbol), and area ( = 36 , \text{ft}^2 )

Explanation:

Step1: Recall the area formula for a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \), or \( A = b \times h \). Here, the base \( b \) is 9 ft, and the area \( A \) is \( 36 \, \text{ft}^2 \). We need to find the height \( h \).

Step2: Substitute the known values into the formula

Substitute \( A = 36 \) and \( b = 9 \) into the formula \( A = b \times h \). This gives us the equation \( 36 = 9 \times h \).

Step3: Solve for \( h \)

To solve for \( h \), we divide both sides of the equation by 9. So, \( h=\frac{36}{9} \). Calculating this, we get \( h = 4 \).

Answer:

The height \( h \) is \( 4 \) feet.