The number of square units required to fill a square is known as its area. In other words, while calculating the area of a square, we take into account the length of its side. Because all of a square’s sides are identical, its area equals the product of its two sides. The most popular units for measuring the area of a square are square metres, sq ft, square inches, and square centimetres. Other measurements, such as the lateral and the perimeter of the square, can also be used to compute the area of a square.
What Is A Square?
A square is a two-dimensional enclosed form that has four equal sides and 4 equal angles. The 4 angles at the vertex are formed by the square’s 4 sides. The perimeter of a square is the summation of the entire lengths of its sides, and the area of the square is the total space filled by the square. It has the following qualities as a quadrilateral.
- The opposing sides are perpendicular.
- All four sides are the same.
- All angles are 90 degrees
Squares may be found all over the place. Here are some examples of square-shaped things that you may encounter. A square is represented by the chessboard, the clock, a chalkboard, and a tile.
Definition Of Area Of A Square
The area of a square is the amount of space or surface it takes up. It is equal to the product of its two sides’ lengths. Because the area of a square is the product of its two sides, the area unit is in square units.
Imagine a green square and its entire structure. It has taken up 25 squares. As a result, the square has a surface area of 25 square units. The length of each side is 5 units. As a result, the square’s area is the product of its sides. Square area = side x side = 5x 5 = 25 square units.
Formula Of Area Of A Square
When the sides are given, the area of square formula is: Area of a square = Sidex Side. Algebraically, the area of a square may be calculated by squaring the integer indicating the length of the square’s side. Let us now apply this formula to calculate the area of a 7-cm-square. We know that the area of a square is equal to Side Side. Substituting 7 cm for side length, 7x 7 = 49. As a result, the specified square has an area of 49 cm2. The diagonal of a square may also be used to calculate the area of a square. When given a diagonal, the formula for calculating the area of a square is: Area of a square using diagonals = Diagonal 2/2.
Points To Be Noted:
Please keep the following considerations in mind while we calculate the area of a square.
- When determining the area of a square, it is usual practice to double the value. Students must remember that the area is obtained by multiplying the sides and not doubling them.
- Whenever we portray an area, we must remember to include its unit. A square’s side is one-dimensional, while its area is two-dimensional. As a result, the area of a square is always expressed in square units. A square with a side of 3 units, for example, has an area of 3 x 3 = 9 square units.
The above article talks about the area of a square and the various ways to find the area of a square along with the formulas in geometry. In order to know more in detail about this topic, students and teachers can refer to Cuemath, an online platform that has emerged and proved to be very beneficial regarding all mathematical solutions.