If the length of the rectangle ABOE is reduced by 4 cm, then we get the square MKOE

If the length of the rectangle ABOE is reduced by 4 cm, then we get the square MKOE, the perimeter of which is 36 cm. What is the perimeter of the rectangle ABOE?

Find the side of the square. divide the perimeter of the square – 36 centimeters by 4:

36 centimeters: 4 = 9 centimeters.

The side of the square, which is also the width of the rectangle, is 9 cm.

The length of the rectangle is 4 centimeters longer than the side of the square. Let’s find the length of the rectangle:

9 centimeters + 4 centimeters = 13 centimeters.

Knowing the length – 13 cm and the width – 9 cm of the rectangle, we find its perimeter:

2 (9 + 13) = 2 * 22 = 44 centimeters.

Answer: The perimeter of the rectangle is 44 centimeters.