If we increase the width of the rectangle by 11 cm, then we get a square, the perimeter of which is 112 cm

If we increase the width of the rectangle by 11 cm, then we get a square, the perimeter of which is 112 cm. What is the perimeter of the rectangle?

1. Take the width of the rectangle as x.

2. (x + 11) – the length of the side of the square.

3. Considering that the perimeter of the square is 112 centimeters, we make the equation:

4 (x + 11) = 112 centimeters.

x + 11 = 28 centimeters.

x = 17 centimeters.

The width of the rectangle is 17 centimeters.

4. The length of the rectangle is equal to the length of the side of the square: x + 11 = 17 + 11 = 28 centimeters.

5. Calculate the perimeter of the rectangle (P):

P = 2 (17 + 28) = 2 x 45 = 90 centimeters.

Answer: The perimeter of the rectangle is 90 centimeters.