The perimeter of a square is 27.2 cm. Find its area.

1) Find the side of the square, knowing its perimeter.
A square is a rectangle with all sides equal.
The perimeter of any geometric shape is the sum of the lengths of all its sides. Let’s write the formula for the perimeter of the square:
P = 4 × a,
where P is the perimeter of the square, and is the length of the side of the square.
From the formula for the perimeter of the square, we find the side:
a = P: 4.
a = 27.2: 4 = 6.8 cm.
2) Find the area of ​​the square. The area is denoted by the letter S. Let’s write the formula for calculating the area of ​​a square:
S = a²,
where a is the side of the square.
Substituting the value of the side of the square into the formula, we find the area:
S = 6.8² = 46.2 cm².
Answer: the area of ​​the square is 46.2 cm².