SOLUTION: the length of a rectangle is 5cm less than twice its width . if the length is decreased by 7cm and the width by 3 cm , the perimeter will be 96cm. find the dimensions of the origin

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Question 954662: the length of a rectangle is 5cm less than twice its width . if the length is decreased by 7cm and the width by 3 cm , the perimeter will be 96cm. find the dimensions of the original rectangle .
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=2W-5cm; P=perimeter=2(L+W)=116cm
P=2(L+W)
116cm=2(L+W) Divide each side by 2.
58cm=L+W Substitute for L.
58cm=2W-5cm+W Add 5cm to each side.
63cm=3W Divide each side by 3.
21cm=W ANSWER 1:The width is 21 cm.
L=2W-5cm
L=2(21cm)-5cm=42cm-5cm=37cm ANSWER 2: The length is 37 cm.