The length of the rectangle is 11cm. Estimate how many centimeters its width should be so that the perimeter

The length of the rectangle is 11cm. Estimate how many centimeters its width should be so that the perimeter of this rectangle is less than the perimeter of a square with a side of 8cm.

To begin with, we find how many centimeters are the perimeter of a square with a side eight centimeters long.

Since the perimeter of any square is equal to the length of its side, increased by 4 times, the perimeter of this square is 4 * 8 = 32 cm.

Let us denote by the width of the rectangle.

Since its length is 11 centimeters, the perimeter of this rectangle will be 2 * (11 + in).

In order for the perimeter of a given rectangle to be less than the perimeter of a given square, it is necessary that the inequality holds:

2 * (11 + b) <32.

We solve this inequality:

11 + b <32/2;

11 + b <16;

c <16 – 11;

c <5.

Answer: The width of the rectangle must be less than five centimeters.