SOLUTION: The area of a rectangular garden is 108 square meters. The width is 3 meters longer than one-half the length. Find the length and the width of the garden.

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Question 497721: The area of a rectangular garden is 108 square meters. The width is 3 meters longer than one-half the length. Find the length and the width of the garden.
Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
length = 2x
width = x + 3
(2x)(x + 3)= 108
2x^2 + 6x - 108 = 0
2(x^2 + 3x - 54) = 0
2(x + 9)(x - 6) = 0
x = 6
length= 12 meters.
width = 1/2(12) + 3 = 9 meters.
9 * 12 = 108 meters.
This does check.
Cleomenius.

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