The perimeter of the rectangle is 36 cm. The sum of the lengths of its three sides is 25 cm. What is the area of this rectangle?

The perimeter of a rectangle is equal to the sum of its four sides.

We also know the sum of the three sides of the rectangle, therefore, if we subtract this sum from the perimeter, we get the length of the fourth side: 36 – 25 = 11 (cm).

The sides of a rectangle are equal in pairs, which means that our rectangle has 2 sides, 11 cm each.

The sum of the other 2 sides will be: 36 – 11 * 2 = 14, therefore each of these two sides has a length of 14: 2 = 7 cm.

The area of a rectangle is equal to the product of its sides. For a given rectangle, we get:

S = 11 * 7 = 77 cm².

Answer: 77 cm².