SOLUTION: Hey tutor. This is the problem The length of a rectangular cardboard is 2cm greater than it's width. If the length and the width were each decreased by 1 cm, the area of the

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Question 436147: Hey tutor.
This is the problem
The length of a rectangular cardboard is 2cm greater than it's width. If the length and the width were each decreased by 1 cm, the area of the card board will decrease by 27cm squared. What are the dimensions of the original piece of cardboard?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
w%28w%2B2%29+=+%28w-1%29%28w%2B1%29+%2B+27
==> w%5E2+%2B+2w+=+w%5E2+-+1+%2B+27
==> 2w+=+26
w = 13 cm, the width of the cardboard, and
w + 2 = 15 cm, the length of the cardboard.