SOLUTION: I bought 5 feet of ribbon to decorate the square edge of a placemat. I have 6 inches of ribbon left over after I decorate the placemat. If both the length and width of the placema

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: I bought 5 feet of ribbon to decorate the square edge of a placemat. I have 6 inches of ribbon left over after I decorate the placemat. If both the length and width of the placema      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
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!

   

Question 633536: I bought 5 feet of ribbon to decorate the square edge of a placemat. I have 6 inches of ribbon left over after I decorate the placemat. If both the length and width of the placemat are integer values, what are the length and width of the placemat?
Answer by Theo(3464) About Me  (Show Source):
You can put this solution on YOUR website!
5 feet = 60 inches.
perimeter of the place mat is 54 inches (60 - 6 = 54
perimeter is equal to 2*L + 2*W
you get 2*L + 2*W = 54
For L and W to be integers, 2L and 2W have to be even numbers and those even numbers have to add up to 54.
all of these numbers add up to 54.
52 + 2
50 + 4
48 + 6
46 + 8
44 + 10
42 + 12
40 + 14
etc.
bottom line is you don't have enough information to narrow the result down to one particular length and width.
not as far as i can see, unless i'm missing something.