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

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(13342) (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.

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