The perimeter of the rectangle, the sides of which are expressed as an integer number

The perimeter of the rectangle, the sides of which are expressed as an integer number of centimeters, is 28 cm. Can its area be equal to 33 cm2? 40 cm2?

Its area can be equal to 33 cm ^ 2 and 40 cm ^ 2.

Let’s find the semi-perimeter of the rectangle in order to know the sum of the sides of the rectangle. To do this, divide the perimeter of the rectangle in half:

28: 2 = 14 (cm) – semi-perimeter of a rectangle.

The semi-perimeter of a rectangle is the sum of the length and width of the rectangle.

If the length and width of the rectangle are 11 cm and 3 cm, then their perimeter will be 28 cm, and the area is 33 cm ^ 2.

If the length and width of the rectangle are 10 cm and 4 cm, then their perimeter will be 28 cm, and the area will be 40 cm ^ 2.