A square is a 2D quadrilateral in which all the sides are of the same length and all four sides make an angle of 90 degrees each. The square is a special type of rectangle where all sides are equal which makes the area of the square is equal to side X side. Hence the area of a square is a side square.
Properties of a square
Table of Contents
- The opposite sides are always parallel.
- All four sides and angles are equal.
- The measure of the angles of any square is 90 degrees each.
- The perimeter of square can be found by finding the sum total of the lengths of its side. The unit is simply meters or centimeters or inches etc.
What is the Area?
The region occupied by any shape or the space covered by any object is its area.
All the sides of a square are always equal and hence its area is the square of the side.
Area of square=side^2
*Note: the area of the square is always measured in square units.
What Are the Things Considered to Find Out the Area of the Square?
Squares are considered to be the special cases of rectangles and the area of the rectangle is length X breath which means the area of the square becomes side square.
Area of the square = side^2
Let’s understand the area of the square using this formula.
Example: find the area of the square field whose side is 6 meters.
Solution: we know that the formula for the area of square sides square.
Applying this if the side is 6 meters then the area of the square field will be 6 x 6 which is 36 meters square.
Hence we see that the measurement of side is the necessity for finding the area of.
This is an algebraic method to find the area of the square.
We can also find the area of the square with the help of the diagonal of the square.
The formula used to find the area of the square if provided with the diagonal is
Area = (diagonal^2)/2
- The diagonals of a square are always perpendicular and bisect each other. If we are provided by the side of the square we can easily calculate the side of the square by using the Pythagoras theorem.
Cuemath explains the concepts of the area of squares in an easy and interesting way.
Let’s try to understand the concept of area with an example.
- The formula that is used in this case is:
Area of a square using diagonals = Diagonal²/2.
For example, the diagonal of a square is 6 units,
Then, the Area = 6²/2 = 36/2 = 18 square units.
Since the area of a square is a two-dimensional quantity, it is always expressed in square units; the common units of the area of a square are m2, inches2, cm2, foot2.
A square has a larger area than all other quadrilaterals with the same perimeter. The diagonals of a square bisect each other at 90 degrees and are perpendicular. The opposite sides of a square are parallel. The internal angles of a square add to 360 degrees.
We can see examples of squares in our day to day life like chessboard, carrom board etc.
Concluding
- A square has a larger area than all other quadrilaterals with the same perimeter.
- The diagonals of a square bisect each other at 90 degrees and are perpendicular.
- The opposite sides of a square are parallel.
- The internal angles of a square add to 360 degrees.
- A square has 4 lines of reflection symmetry.
The area of the square can be used to calculate the area of the plot, any property, etc.
Also, read 7 ways college students can create enough time for their summer and many more articles on Best Digital Updates.
