SOLUTION: The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 805246: The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let perimeter = +P+
Let width = +w+
Length is +L+=+2w+
The formula for perimeter is:
+P+=+2w+%2B+2L+
+P+=+2w+%2B+2%2A%282w%29+
+P+=+2w+%2B+4w+
+P+=+6w+
-----------
+72+=+6w+
+w+=+72%2F6+
+w=+12+
-----------
Let +A+ = area
+A+=+L%2Aw+
+A+=+%282w%29%2Aw+
+A+=+2w%5E2+
+A+=+2%2A12%5E2+
+A+=+2%2A144+
+A+=+288+ in2