A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x+8. Which expression represents the length of the garden?

a. 2x+2

b. 3x+4

c. 6x+8

d. 8x+8 - 2x

Hello! I believe your answer would be C

The length of the garden is 3x+4

Step-by-step explanation:

Since we can say that the garden has a rectangular geometry, then the perimeter is:

P=2w+2l

Being w and l, the with and the length respectively. We both know the perimeter and the width:

P=8x+8

w=x

If we replace in the perimeter equation above:

8x+8=2x+2l

By solving for the length l:

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

l = (6x+8) / 2

l=3x+4