A square is a geometrical shape with four equal sides which can be defined as a parallelogram. A square, like any other shape, has its own formula for area and perimeter. The total amount of square units that a square can occupy or hold can be thought of as its area. The area of a square is given mathematically as l * l, where ‘l’ is the length of each side of the square. Keep in mind that the resultant value is always expressed in square units. In this section, we will attempt to cover some fundamental aspects of the square, such as the perimeter of the square, the area of the square some computation based on area, and the perimeter of the square.
What is the Perimeter of Square?
The path that encircles the length or shape of a particular shape is defined as the perimeter of that shape. The perimeter of a square is the total length that its outer boundaries encircle. Finding the sides (each side = 4) & then adding them together yields the perimeter of any given square.
The mathematical formula for the square is 4 * l, where ‘l’ denotes the length of the sides of any given square and the number ‘4’ in the formula denotes the square’s four sides. The derivation is straightforward: the total number of sides in any given square is equal to four, so if each side is added together, the formula equals four.
What is Area of Any Figure?
The area is the amount of space occupied by the object. It is the area that is encircled by any shape. We only consider the length of a square’s side when calculating its area. Because all of the sides of a square are equal, its own area is equal to the square of the side.
Similarly, we can calculate the area of any other shape based on its sides, such as a rectangle, parallelogram, triangle, or polygon. For curved surface objects, the area of the surface is determined by calculating using the radius (r) or the length of its outer line from the axis. Circle as an example.
Area of a Square – Examples
Let us take Alin as an example. Alin is a photographer. She created a collage on a board that is square in shape with 10 cm on each side of the square. She seems to want to encase the collage and thus needs to calculate the area of the board which is in the shape of a square. She must multiply the length and breadth measurements to determine the area of the collage or the encase. As a result, the area of the encased picture is the product of the collage’s sides.
Solved Examples
Question 1: Rahul’s father has bought a square plot that has length of 20 cm and a breadth as 20 cm. Help him calculate the area of the plot bought by him.
Solution: Let’s note down the information given in the question,
Length of the Square plot bought by Rahul’s father = 20cm
Breadth of the Square plot bought by Rahul’s father = 20cm
We already know how to calculate the area of any given square = Length * Breadth
Therefore, area of the square plot = 20*20 = 400 cm square units
Question 2: Mohan has a square box. We have been given all the measurements such as the length which equals 10 cm and the breadth which equals 10 cm. What will be the perimeter of the given square?
Solution: Let’s note down the information given in the question,
Length of the Square = 10 cm
The breadth of the Square = 10 cm
We already know how to calculate the area of any given square = 4*s
Therefore, the Area of the square plot = 4*10= 40 cm
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