Square
A square is a four-sided polygon with equal length sides and four right angles
A square is a four-sided polygon with equal length sides and four right angles. It is a special type of rectangle where all sides are equal.
Properties of a square:
1. Side length: All four sides of a square have the same length. Let’s denote this length as “s”.
2. Perimeter: The perimeter of a square is the sum of all four sides. It is calculated by multiplying the length of a side by 4. So, the perimeter (P) of a square is given by P = 4s.
3. Area: The area of a square is the measure of the surface enclosed by its sides. It is calculated by multiplying the length of a side by itself. So, the area (A) of a square is given by A = s^2.
4. Diagonals: A square has two diagonals that intersect at a right angle. The length of each diagonal can be found using the Pythagorean theorem. The diagonal (d) of a square is given by d = s√2.
Example:
Let’s consider a square with a side length of 5 units.
1. Perimeter: P = 4s = 4(5) = 20 units.
The perimeter of the square is 20 units.
2. Area: A = s^2 = 5^2 = 25 square units.
The area of the square is 25 square units.
3. Diagonal: d = s√2 = 5√2 ≈ 7.07 units.
The diagonal of the square is approximately 7.07 units.
I hope this explanation helps! If you have any further questions, feel free to ask.
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