Find the area of a square, the perimeter of which is 3 times smaller than the perimeter of the rectangle

Find the area of a square, the perimeter of which is 3 times smaller than the perimeter of the rectangle, the length and width of which are 18cm and 24cm.

1) Let’s find out what perimeter the rectangle has with sides of 18 cm and 24 cm.

(18 + 24) * 2 = 84 cm.

2) Let’s find out what the perimeter of the square is, if it is known that it is 3 times smaller than the perimeter of the rectangle, and the perimeter of the rectangle is 84 cm.

84/3 = 28 cm.

3) Let’s find out how long the sides of the square have, if it is known that the perimeter of the square is 28 cm.

28/4 = 7 cm.

4) Find out what area the resulting square has.

7 * 7 = 49 cm².

Answer: the area of the resulting square was 49 cm².