Square

It is a quadrilateral wherein all the four sides and angles of it are equal. All the four angles are 90 degrees each, that is, right angles. You can also consider square as a special case of a rectangle where you will find that the two adjacent sides are of equal length.

Area of a Square:

Area of a square can be defined as the region which is enclosed within its boundary.

Area = a² = a × a

Example:

A square has a side length of 3 m, what is its Area?

Solution:

Area = 3 m × 3 m

= 9 m²

Perimeter of a Square:

The Perimeter is the distance around the edge.

Perimeter = 4 a

Example:

A square has a side length of 6 cm, what is its Perimeter?

Solution:

Perimeter = 4 × 6 cm

= 24 cm

Diagonals of a Square:

A square has two diagonals, they are equal in length and intersect in the middle.

Diagonal "d" = a × √2

Example:

A square has a side length of 5 m, what is the length of a diagonal?

Solution:

Diagonal Length d = a × √2

= 5 × 1.41421...

= 7.071 m (to 3 decimals)

Properties of a Square:

• The lengths of all the four sides of a square are equal.
• The two diagonals bisect each other at right angles, that is, 90°
• Opposite sides are parallel (so it is a Parallelogram).
• The lengths of diagonals of a square are equal.