Man V.

asked • 03/23/16

The length of a rectangle is 9 units larger than the width.  The area is 360.  Find the value of the length and width.

plz help
 

1 Expert Answer

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Ron G. answered • 03/23/16

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L = W + 9 <-- relationship of sides
 
LW = 360 <-- area
 
So we have, using these relationships together,
 
W (W + 9) = 360
 
W2 + 9W - 360 = 0 <-- solve via Quadratic Formula
 
W = (-9 +/- √(81 + 1440)) / 2
 
One of the two answers is negative, so we ignore that.
 
W = 15 so L = 24 Cheers!
 
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