Question

use the area formula ( a = ) lw to write a formula for the length ( l ) of a rectangle involving the area formula ( a = ) lw. use this formula to find the length if the area is 117 ft² and the width is 9 ft.

Explanation:

Step1: Solve the formula for \( l \)

Given \( A = lw \), divide both sides by \( w \) to isolate \( l \).
\( l=\frac{A}{w} \)

Step2: Substitute the values of \( A \) and \( w \)

We know \( A = 11.7 \) and \( w = 0.9 \).
\( l=\frac{11.7}{0.9} \)

Step3: Calculate the value of \( l \)

\( 11.7\div0.9 = 13 \)

Answer:

The formula for the length \( l \) is \( l=\frac{A}{w} \), and when \( A = 11.7 \) and \( w = 0.9 \), the length \( l = 13 \)