# SOLUTION: I am trying to figure out a problem that my teacher gave my class. A rectangle has a perimeter of 4 inches. If the sides of the rectangle are whole numbers of inches, how many

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 Click here to see ALL problems on Rectangles Question 72970: I am trying to figure out a problem that my teacher gave my class. A rectangle has a perimeter of 4 inches. If the sides of the rectangle are whole numbers of inches, how many different combinations of measures are possible? So far I have figure 1 solution, 1+1+1+1 Still, I think this is a square not a rectangle. Any insight would be helpful. Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!Since the perimeter is 4 inches and the sides have to be whole numbers, if one of the sides were 2, then another side would also have to be 2 and there wouldn't be any more length left for the other two sides. . You have hit upon the only solution that matches the criteria that you were given ... whole numbers for sides and not more than 4 units in length. . But you didn't recognize the point that the teacher was trying to make. The teacher was trying to show you that your answer was really a rectangle, but it was a special case of a rectangle ... a square is a rectangle that happens to have 4 equal sides. . Another way to look at it is to remember "All squares are rectangles, but not all rectangles are squares." Some rectangles have lengths that are greater than their widths. . Sort of similar to saying "All spaniels are dogs, but not all dogs are spaniels." . You did a really good job of coming up with the only set of numbers that would work. Shows you were thinking about it in the right way. Some day you may get to be really good at math if you continue to work at it with the same thought you showed toward this problem.