Question 312658
let the width of the rose garden be x feet
The length will be x+6 feet
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Pathway is 3 feet wide.
So width and length will increas by 6 feet
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x+6 will be the width of whole plot
x+6+6 will be the length of the whole plot
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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
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The perimeter of rose garden will be 2*6+2*12
=36 feet