To find the widths that will make the perimeter of the rectangle greater than 88 cm, we need to use the formula for the perimeter of a rectangle, which is P = 2(length + width).
In this case, the length is fixed at 16 cm. So the equation becomes 88 < 2(16 + width).
To solve for width, we can start by simplifying the equation: 88 < 32 + 2*width.
Next, we subtract 32 from both sides: 56 < 2*width.
Then, divide both sides by 2: 28 < width.
Therefore, any widths larger than 28 cm will make the perimeter of the rectangle greater than 88 cm.