To repair his kitchen subfloor, John cut a rectangular piece of plywood such that the width and length were two consecutive odd integers. If the product of the length and width is 575

Question

To repair his kitchen​ subfloor, John cut a rectangular piece of plywood such that the width and length were two consecutive odd integers. If the product of the length and width is 575
​, what were the dimensions of the piece of​ plywood?

Steve · Answer

well, √575 = 23.9 So look for odd numbers close to 24. Also, note that 24^2 = 576, so 575 = 24^2 - 1^1

To repair his kitchen​ subfloor, John cut a rectangular piece of plywood such that the width and length were two consecutive odd integers. If the product of the length and width is 575

To repair his kitchen subfloor, John cut a rectangular piece of plywood such that the width and length were two consecutive odd integers. If the product of the length and width is 575