Bob B.

asked • 04/01/15

a rectangle has length twice it's width. if 4m were subtracted from the length and 24m were added to the width, the rectangle would be a square.

Fine the dimensions of the rectangle.

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Anthony W. answered • 04/01/15

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Hi Bob,
 
Let
L=length
W=width
 
We know that 
 
L=2W
 
and since a square has equal length and width,
 
L-4=W+24
 
Just substitute and solve to find the answer
 
Hope this helps
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Bob B.

I know I must sound like the worst math student, but once again I am confused on how to exactly solve this...
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04/01/15

Anthony W.

Haha no worries.
 
So, L=2W and L-4=W+24,
 
Substituting L=2W into L-4=W+24 gets
 
2W-4=W+24
 
Just solve for W and you can put that back into L=2W
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04/01/15

Bob B.

So I end up with W=28. Do I subtract 24 because that's what was added to make it a square?
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04/01/15

Anthony W.

No, I guess I should have been more specific when labeling, but W is the width of the rectangle and L is the length of the rectangle so whatever you find is the answer. The width of the rectangle is 28
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04/01/15

Bob B.

Thank you. You are the Jesus of my math assignment.
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04/01/15

Anthony W.

Haha I wouldn't go that far, but you're welcome
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04/01/15

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