The length of the rectangle is 16 cm, and the width is 4 times less.

The length of the rectangle is 16 cm, and the width is 4 times less. Find the area of a square whose perimeter is equal to the perimeter of the rectangle.

1. Calculate the width of the rectangle:

16: 4 = 4 centimeters.

2. Find the perimeter (P) of this geometric figure:

P = 16 x 2 + 4 x 2 = 40 centimeters.

3. We calculate the length of the side of the square (a), taking into account that its perimeter, according to the condition of the problem, is equal to the perimeter of the rectangle, that is, 40 centimeters; and also that all sides of the square are equal:

a = 40: 4 = 10 centimeters.

4. Calculate the area (S) of the square:

S = a² = 10² = 100 centimeters².