# 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

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 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)   (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.