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.
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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
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.
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Let x = the width
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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
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x = +9 cm is the width (it's positive solution we want here)
Then
9 + 3 = 12 cm is the length
;
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Check: 12 * 9 = 108
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That wasn't so hard, was it? Any questions?
