17. A gardener is installing a fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the graden is 8x + 8. Which expression
represents the length of the garden?
a. 2x + 2
b. 3x +4
c. 6x + 8
d. 8x + 8 - 2x

Hey there!

B. 3x + 4 ft.

Step-by-step explanation:

Remember that:

Perimeter of a rectangle: P = 2l + 2w

Given:

P = 8x + 8

w = x.

Plug the given information into the equation:

8x + 8 = 2l + 2x

Subtract 2x from both sides:

6x + 8 = 2l

Divide both sides by 2:

(6x + 8)/2 = 2l/2

3x + 4 = l.

Therefore, the length of the garden is:

l = 3x + 4 ft.