The rectangle and the square have the same perimeters – 24 cm. What is the area of which is larger

The rectangle and the square have the same perimeters – 24 cm. What is the area of which is larger and by how many square centimeters if the length of one side of the rectangle is 2 cm?

Let’s find what the side of the square is equal to:
P = 4 * a;
a = P / 4 = 24/4 = 6 cm.

Let’s define the area of the square:
S square = a² = 6² = 36 cm².

Let’s calculate the length of the rectangle, knowing its width and perimeter:
P = (b + c) * 2;
c = P / 2 – b;
c = 24/2 – 2 = 10 cm.

Determine the area of the rectangle:
S pr = b * c = 2 * 10 = 20 cm².

Let’s find the difference between the areas of the figures:
Sq – S pr = 36 – 20 = 16 cm ².

Answer: the area of the square is 16 square centimeters larger.