SOLUTION: I am having major problems with this word problem and need some help The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 99cm^2, Find t

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Question 92892: I am having major problems with this word problem and need some help
The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 99cm^2, Find the dimensions of the rectangle to the nearst thousandth.
Thanks a million
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
L=2W+3 ... area=L*W ... 99=(2W+3)W ... 2W^2+3W-99=0 ... using quadratic formula gives W=%28-3+%2B-+sqrt%283%5E2-%284%282%29%28-99%29%29%29%29%2F%282%282%29%29

W=%28-3+%2B-+sqrt%28801%29%29%2F4 ... W=6.325 and W=-7.825 ... negative value is unrealistic

L=2W+3 ... L=2(6.3255)+3 ... L=15.651 ... extra digit in W for precision in calculating L