SOLUTION: Stan has a garden in the shape of a rectangle shown below, where X represents the width of the garden and 3x + 2 represents the lenght of the garden. If it takes 4X +72 feet of
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: Stan has a garden in the shape of a rectangle shown below, where X represents the width of the garden and 3x + 2 represents the lenght of the garden. If it takes 4X +72 feet of
Log On
Question 1012136: Stan has a garden in the shape of a rectangle shown below, where X represents the width of the garden and 3x + 2 represents the lenght of the garden. If it takes 4X +72 feet of fencing to enclosed the garden, what is the length of the garden? Found 2 solutions by macston, Boreal:Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
P=2(L+W)
4X+72ft=2((3X+2)+X)
4X+72ft=2(4X+2)
4X+72=8X+4
68ft=4X
17ft=X
The width is 17ft
.
L=3X+2
L=3(17ft)+2
L=51ft+2=53ft
ANSWER: The length of the garden is 53 feet.
.
CHECK:
4X+72ft=2((3X+2)+X)
4(17ft)+72ft=2((3(17ft)+2ft)+17ft)
68ft+72ft=2(53ft+17ft)
140ft=2(70ft)
140ft=140ft
.