# SOLUTION: The length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54 meters.

Algebra ->  Algebra  -> Rectangles -> SOLUTION: The length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54 meters.       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Geometry: Rectangles Solvers Lessons Answers archive Quiz In Depth

 Question 123791: The length of a rectangle is 5 meters longer than the width. Find the length and width if the perimeter is 54 meters. Answer by nadinadan(32)   (Show Source): You can put this solution on YOUR website!Let's change the words problem in math operations. The problem says: L=5+W where L is the Length and W is the width. And 2L+2W=54 The perimeter of the rectangle is L+L+W+W=2L+2W So we have 2 equations: L=5+W 2L+2W=54 we replace the first ecuation into the second one, so insted of L we will have (5+L) So the second ecuation changes to 2(5+W)+2W=54 so 10+2W+2W=54 so 4W=54-10 so 4W=44 so W=11 than in L=5+W, we replace W=11, so L=5+11=16. So L=16 and W=11.