SOLUTION: THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THAN 3 TIMES IT'S WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN. IF SOMEONE CAN PLEASE HELP I W

Question 57084: THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THAN 3 TIMES IT'S WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN.
IF SOMEONE CAN PLEASE HELP I WOULD APPRECIATE IT
Found 2 solutions by Scriptor, tutorcecilia:
Answer by Scriptor(36) (Show Source): You can put this solution on YOUR website!
Call the length = x
Call the width = y
You know that x*y = 48
You also know that x = 3y - 8
Substitute this x in x*y=48 to obtain:
y * (3y-8) = 48
3y� - 8y - 48 = 0
Now solve this for y (delete the negative root)
Solution: y = 4/3 + 4*sqrt(10)/3
x = 48 / (4/3 + 4*sqrt(10)/3)
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
P=2(length + width) [Use the formula for a perimeter]
P=48ft
Length= 3w-8
Width=w
.
48=2[(3w-8)+w]
48=2(3w-8+w)
48=2(4w-8)
48=8w-16
48+16=8w
64=8w
64/8=w
8ft=width
.
Length:
l=3w-8
l=3(8)-8
l=24-8
Length = 16 ft
.
Check by plugging the values of the perimeter, length and width into the formula for the perimeter of a rectangle.
48=2(16+8)
48=2(24)
48=48 [checks out]

RELATED QUESTIONS
CAN SOMEONE PLEASE ASSIST: THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THEN 3 TIMES... (answered by Scriptor,tutorcecilia)
the length of a a rectangular garden is two less than three times the width. Find the... (answered by tara0066)
The length of a rectangular garden is 7 ft less than 3 times its width. If the perimeter... (answered by checkley71)
The length of a rectangular garden is 3 ft less than 2 times its width. If the perimeter (answered by Nate,checkley71)
Can someone help me on this? The length of a rectangular garden is 2 ft. less than 3 (answered by checkley71)
The length of a rectangular garden is 5 more than 3 times the width. If the perimeter is... (answered by checkley79)
the length of a rectangle garden is 3ft less than 2 times it's width. If the perimeter of (answered by Paul)
a rectangular garden has a length that is eight less than three times the width. the... (answered by Timnewman)
A rectangular garden is three times as long as its wide. If the length is decreased by... (answered by Paul)