SOLUTION: the length of a rose garden is 6 feet more than the width. the garden is surrounded by a uniform pathway which is three feet wide. the area of the pathway alone is 216 square feet.

Question 312658: the length of a rose garden is 6 feet more than the width. the garden is surrounded by a uniform pathway which is three feet wide. the area of the pathway alone is 216 square feet. what is the perimeter of the rose garden?
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
let the width of the rose garden be x feet
The length will be x+6 feet
..
Pathway is 3 feet wide.
So width and length will increas by 6 feet
..
x+6 will be the width of whole plot
x+6+6 will be the length of the whole plot
..
Area of whole plot - area of pathway = area of rose garden.
(x+6)(x+12)-216 = x(x+6)
x^2+18x+144-216=x^2+6x
12x=72
x= 6 the width
Length will be x+6 = 12
..
The perimeter of rose garden will be 2*6+2*12
=36 feet

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