SOLUTION: The perimeter of a standard-sized rectangular rug is 40 ft. The length is 2 ft longer than the width. Find the dimensions.

Algebra ->  Finance -> SOLUTION: The perimeter of a standard-sized rectangular rug is 40 ft. The length is 2 ft longer than the width. Find the dimensions.       Log On


   



Question 1005985: The perimeter of a standard-sized rectangular rug is 40 ft. The length is 2 ft longer than the width. Find the dimensions.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +L+ = length in ft
Let +W+ = width in ft
Let +P+ = perimeter of rug in ft
-----------------------------
The formula for perimeter is:
+P+=+2L+%2B+2W+
-----------------
given:
+L+=+W+%2B+2+
+P+=+40+
--------------
By substitution:
+P+=+2%2A%28+W+%2B+2+%29+%2B+2W+
+P+=+2W+%2B+4+%2B+2W+
+P+=+4W+%2B+4+
+40+=+4W+%2B+4+
+10+=+W+%2B+1+
+W+=+9+
and
+L+=+W+%2B+2+
+L+=+11+
the rug's dimensions are:
9 x 11
-----------
check:
+P+=+2L+%2B+2W+
+40+=+2%2A11+%2B+2%2A9+
+40+=+22+%2B+18+
+40+=+40+
OK