Fred and Sue want to fence in a rectangular area in their yard for a vegetable garden. Suppose that they have 30 feet of fencing
. Sue tells Fred that she wants to put up the fence in such a way as to obtain a rectangular garden with the largest possible perimeter. Fred replies that the perimeter will be the same for any rectangular garden that they construct as long as they use all of the fencing. Is Fred correct? Explain.
Let the smaller one is x so the larger is x+1 x(x+1)=1332 x^2+x=1332 x^2 +x -1332 =0 (x - 36)(x + 37) =0 so x = 36 or x = -37 therefor the larger integer is either 37 or -36
