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.

Algebra ->  Rectangles -> 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.       Log On


   



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) About Me  (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.