SOLUTION: The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle.

Question 109633This question is from textbook
: The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is three centimeters greater than the width. The area is 108 square centimeters. Find the length and width of the rectangle.
:
Let x = the width
:
It says,"The length of a rectangle is three centimeters greater than the width."
Therefore: (x+3) = the length
:
L * W = 108
Same as:
(x+3)*x = 108
x^2 + 3x = 108
x^2 + 3x - 108 = 0
:
Factor this to:
(x + 12)(x - 9) = 0
:
x = +9 cm is the width (it's positive solution we want here)
Then
9 + 3 = 12 cm is the length
;
:
Check: 12 * 9 = 108
:
That wasn't so hard, was it? Any questions?
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