Suzanne has a rectangular garden which is 18 feet long and 11 feet wide. she has 168 square foot of paving stones, and she wants to build a pathway around the border of the garden. how wide will the pathway be?

width = 2.5 feet

Step-by-step explanation:

Suzanne has a rectangular garden which is 18 feet long and 11 feet wide.

Area of the garden = length times width = 18 times 11= 198 square foot

Let 'w' be the width of the border

Length of the garden with border = 18+2w

Width of the garden with border = 11+2w

Area of the garden with border =

Area of the border =

She has 168 square foot of paving stones,

Solve for w

apply quadratic formula

a= 4, b= 58 and c=-168

we get two values for w

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10