# SOLUTION: A rectangular piece of picture matting is 2 inches longer than it is wide. A rectangular region is cut out of the middle for a picture, leaving 1 inch of matting all around. If the

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A rectangular piece of picture matting is 2 inches longer than it is wide. A rectangular region is cut out of the middle for a picture, leaving 1 inch of matting all around. If the      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

Question 282144: A rectangular piece of picture matting is 2 inches longer than it is wide. A rectangular region is cut out of the middle for a picture, leaving 1 inch of matting all around. If the area of the region that is removed is 24 square inches, what are the dimensions of the matting?
You can put this solution on YOUR website!
First we will find the dimensions of the piece removed.
The formula for the area of a rectangle is:
L * W = 24
L = W + 2

Substitue the value of L for L
(W + 2) * W = 24

Expand:
W^2 + 2W = 24

Subtract 24 from each side:
W^2 + 2W - 24 = 24 - 24