SOLUTION: The length of a rectangle is 5 cm less than than thrice its width. find the dimensions of the rectangle if its area is 112 centimeter squared

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Question 982370: The length of a rectangle is 5 cm less than than thrice its width. find the dimensions of the rectangle if its area is 112 centimeter squared

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=3W-5cm; A=area=112cm^2
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LW=A
%283W-5cm%29%28W%29=112cm%5E2
3W%5E2-5Wcm=112cm%5E2
3W%5E2-5Wcm-112cm%5E2=0
%28W-7%29%283W%2B16%29=0
W-7=0 OR%29%29%29+%7B%7B%7B3W%2B16=0
W=7 OR 3W=-16
W=7 OR W=-%2816%2F3%29
ANSWER 1: The width is 7 cm.
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L=3W-5cm
L=3%287cm%29-5cm
L=21cm-5cm
L=16cm
ANSWER 2: The length is 16 cm.
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CHECK:
A=LW
112cm^2=(16cm)(7cm)
112cm^2=112cm^2