SOLUTION: A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet?

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Question 1084269: A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
L + W = 116,    (1)    (116 = 232%2F2 )
L - W =  20.    (2)

Add the two equations (both sides) ans see what will happen.


Then complete the solution on your own.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

carpet has a perimeter of P=232in.
The length L of the carpet is 20in more than the width W.
L=W%2B20in
P=2%28L%2BW%29
2%28L%2BW%29=232in....substitute L
%28W%2B20in%2BW%29=232in%2F2
2W%2B20in=116in
2W=116in-20in
2W=96in
W=96in%2F2
W=48in

L=W%2B20in
L=48in%2B20in
L=68in

the dimensions of the carpet are: 68in by 48in