Rectangles: Area and Perimeter the SameDate: 4/15/96 at 22:20:22 From: Anonymous Subject: Problem solving There are two different rectangles whose sides are integers and whose area and perimeter are the same. Find the dimensions. Date: 4/16/96 at 10:17:11 From: Doctor Sebastien Subject: Re: Problem solving Let x and y be the sides of the rectangle. The area is xy and the perimeter is 2(x+y) xy = 2x + 2y xy - 2x - 2y = 0 x(y-2) = 2y x = 2y/(y-2) Now find values of x and y such that x>0, y>0 and x and y are integers. When y = 3, x = 6. When y = 4, x = 4 -Doctor Sebastien, The Math Forum |
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