The area of a square is 25 cm2, which is equal to its sides and perimeter.
The opposite sides of the rectangle are equal in length and parallel to each other.
The area of the rectangle is calculated by multiplying the length of the shape by its width:
S = a * b;
S is the area of the rectangle;
a and b – its length and width.
A square has all 4 sides the same.
The area of the square is calculated by the formula:
S = a * a = a ^ 2;
S is the area of the square;
a is the length of the side of the square.
The formula for determining the perimeter of a square is:
P = a + a + a + a = 4 * a;
P is the perimeter of the square;
a is the length of its side.
From the area formula, we derive the length of the side of the square and find its value:
a = √25 cm2 = 5 cm.
The perimeter of the square is:
P = 4 * 5 cm = 20 cm.
Answer: the side of the square is 5 cm, and the perimeter is 20 cm.