Question

eliana is staking off a rectangular area of her yard for a new vegetable garden. the width of the garden will be 7 feet, and the area of the garden will be 56 square feet. let ( l ) represent the length of the garden. which equation models the problem? (\frac{l}{7} = 56) (7l = 56) solve this equation to find the length of the garden. (square) feet

Explanation:

Step1: Identify the correct equation

The area \( A \) of a rectangle is given by \( A = \text{length} \times \text{width} \). Here, width is 7 feet, length is \( l \), and area is 56 square feet. So the equation should be \( 7l = 56 \) (since \( 7 \times l = 56 \)).

Step2: Solve the equation \( 7l = 56 \)

To find \( l \), we divide both sides of the equation by 7.
\[
\frac{7l}{7} = \frac{56}{7}
\]
Simplifying both sides, we get \( l = 8 \).

Answer:

The correct equation is \( 7l = 56 \), and the length of the garden is 8 feet.