SOLUTION: Hi there, I was wondering if someone can help me solve this rectangle problem? It says: The length of a rectangle decreased by 6cm is equal to the width. If the perimeter is

Question 77607: Hi there, I was wondering if someone can help me solve this rectangle problem?
It says:
The length of a rectangle decreased by 6cm is equal to the width. If the perimeter is 68 cm, find its dimensions.
It would be greatly appreciated!!!!
Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If we let L=length, w=width we get

and the perimeter equals

Plug in L-6 into w and let P=68

Distribute

Combine like terms

Add 12 to both sides

Divide both sides by 4

So this is the length
Use this to find the width:

So the dimensions are width=14, length=20
Check:
plug in L=20, w=14, P=68

works
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