SOLUTION: You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How l

Algebra ->  Rectangles -> SOLUTION: You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How l      Log On


   

Question 152281This question is from textbook
: You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How long should each piece be? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How long should each piece be?
:
Let x = the width
:
It says, the length is to be 30' longer than the width, therefore:
(x+30) = the length
:
480 ft of fencing will be the perimeter, therefore:
2x + 2(x+30) = 480
2x + 2x + 60 = 480
4x = 480 - 60
4x = 420
x = 420%2F4
x = 105 ft is the width
then
105 + 30 = 135 ft is the length
;
:
Check solution by finding the perimeter:
2(105) + 2(135) =
210 + 270 = 480; confirms our solution