Question

suppose l is the length of the garden in feet. write an equation in terms of l that can be used to find the length of the garden.
equation: 8l - 19 = 45
correct answer:
equation: 45 = 2l + 2\left(3l - 9\frac{1}{2}\
ight)
progress: 1/2
part 2 of 2
the length of the garden is \square feet.

Explanation:

Step 1: Solve the equation \(8l - 19 = 45\)

First, add 19 to both sides of the equation to isolate the term with \(l\).
\(8l - 19 + 19 = 45 + 19\)
\(8l = 64\)

Step 2: Solve for \(l\)

Divide both sides of the equation by 8 to find the value of \(l\).
\(\frac{8l}{8} = \frac{64}{8}\)
\(l = 8\)

Answer:

The length of the garden is \(\boxed{8}\) feet.