So, we'll first convert the mixed fraction to "improper", and then sum both widths and lengths to get the perimeter.
Let the two required numbers be x and y, then x - y = 176, thus y = x - 176.
Let the product of the two numbers be represented by

For the product to be minimum,


Thus, y = 88 - 176 = -88
Therefore, the two numbers are 88 and -88.