In mathematics, there are various types of shapes such as rhombus, rectangle, triangle, and so on. Square is one of the geometrical shapes which is considered to be a type of parallelogram with four equal and parallel sides. As with every other shape, a square also has its own formula for the perimeter and area. The perimeter of a square can be defined as the total amount of length that the boundaries of the square cover. The mathematical formula given to calculate or find the perimeter of a square s, 4 * s whee, ‘s’ signifies the sides of the square. Let us assume that you are selling your field, in order to know the total length of the field, you must know how to calculate the perimeter of the field. In this article, we shall cover some basic aspects related to squares such as some significant properties of a square, area of a square, and some examples related to it.
Some Significant Properties of Square
As mentioned above, a square is a type of parallelogram with four equal and parallel sides. Like every other geometrical shape, a square also has its own properties which distinguish it from other shapes. The following points analyze the important properties of a square.
- It consists of four sides and vertices respectively.
- Every side of a square is equal to each other in terms of its measurement. The contrary facets of a rectangular are parallel to every other.
- The interior angle of a square is about 90 degrees. Thus, the sum of all the interior angles measures about 360 degrees.
- The mathematical formula to calculate the perimeter of a square is, 4 * s where ‘s’ is the sides of a square. The formula for its area is given by, s * s, where ‘s’ is the side of the shape.
Some Examples Related to the Perimeter of a Square
Some of the examples are given below:
Example 1: Calculate the perimeter of a square if the length of its side is 5 cm?
Solution: Given that,
Length of the sides of square = 5 cm
Using the formula for the perimeter of square = 4 * s.
4 * 5 = 20 cm
Therefore, the perimeter of the square for the given length is equivalent to = 20 cm.
Example 2: Calculate the perimeter of a square if the length of its side is 3 cm?
Solution: Given that,
Length of the sides of square = 3 cm
Using the formula for the perimeter of square = 4 * s .
4 * 3 = 12 cm
Therefore, the perimeter of the square for the given length is equivalent to = 12 cm.
Area of Square and Some Examples
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The mathematical formula given to calculate the area of a square is multiplied by s where ‘s’ is the side of the square. Area of a square can be defined as the space or region that the square can hold within itself. Let us try to solve some examples, so that you have no doubts about this topic:
Example 1: Calculate the Area of square if the length of its side is 9 cm?
Solution: Given that,
Length of its sides = 9 cm
Using the formula for the area of square = s * s
9 cm * 9 cm = 81 cm square units.
Therefore, the area of square for the given question is equivalent to 81 cm square units.
Example 2: Calculate the Area of square if the length of its side is 6 cm?
Solution: Given that,
Length of its sides = 6 cm
Using the formula for the area of square = s * s
6 cm * 6 cm = 36 cm square units.
Therefore, the area of square for the given question is equivalent to 36 cm square units.
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