SOLUTION: im stumped; can you help? "The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 46 meters and its length is 2 meters more than twice its w

Algebra ->  Rectangles -> SOLUTION: im stumped; can you help? "The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 46 meters and its length is 2 meters more than twice its w      Log On


   



Question 438331: im stumped; can you help?
"The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 46 meters and its length is 2 meters more than twice its width. what is the length?"

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let width = W
Let length = L
given:
46+=+2W+%2B+2L+
+L+=+2W+%2B+2+
By substitution:
+46+=+2W+%2B+2%2A%282W+%2B+2%29+
+46+=+2W+%2B+4W+%2B+4+
+6W+=+46+-+4+
+6W+=+42+
+W+=+7+
+L+=+2W+%2B+2+
+L+=+2%2A7+%2B+2+
+L+=+16+
the length is 16 m