SOLUTION: A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet? Please show me this, step-b

Algebra ->  Rectangles -> SOLUTION: A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet? Please show me this, step-b      Log On


   

Question 945684: A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet?
Please show me this, step-by-step. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If +L+ = length and
+W+ = width
Find perimeter, +P+
The formula is:
+P+-+2L+%2B+2W+
------------------
+P+=+264+ in
(1) +264+=+2L+%2B+2W+ in
and
(2) +L+=+W+%2B+96+
-----------------
(1) +132+=+L+%2B+W+
Substitute (2) into (1)
(1) +132+=+W+%2B+96+%2B+W+
(1) +2W+=+36+
(1) +W+=+18+
and, since
(2) +L+=+W+%2B+96+
(2) +L+=+18+%2B+96+
(2) +L+=+114+
The width is 18 in
The length is 114 in
-------------------
check:
(1) +264+=+2L+%2B+2W+
(1) +264+=+2%2A114+%2B+2%2A18+
(1) +264+=+228+%2B+36+
(1) +264+=+264+
OK