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Area of a square

# Area of a square

The area of a square is defined as the number of square units needed to fill a square. In other words, when we want to find the area of a square, we consider the length of its side. Since all the sides of a square are equal, its area is the product of its two sides. The common units used to measure the area of the triangle are square meters, square feet, square inch, square cm.Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m0).The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All the sides of a square are equal and hence, its area is equal to the square of side.

## Square

The area of a square is defined as the number of square units needed to fill a square. In other words, when we want to find the area of a square, we consider the length of its side. Since all the sides of a square are equal, its area is the product of its two sides. The common units used to measure the area of the square are square meters, square feet, square inch, square cm. The area of a square can also be calculated with the help of other dimensions, such as the diagonal and the perimeter of the square. Let us try to understand more about the area of the square on this page. A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the square is the area of the square.The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides.

Since the area of a square is the product of its two sides, the unit of the area is given in square units.Observe the green square shown below. It has occupied 25 squares. Therefore, the area of the square is 25 square units. From the figure, we can observe that the length of each side is 5 units. Therefore, the area of the square is the product of its sides. Area of square = side × side = 5 × 5 = 25 square units.Let us understand the derivation of this formula with the help of the following figure, where 'd' is the diagonal and 's' represents the sides of the square. In the above section, we covered the definition of area of square as well as area of square formula. In this section let us understand how to use the area of the square formula to find its area with the help of few applications or real-world examples.A common mistake that we tend to make while calculating the area of a square is doubling the number. This is incorrect! Always remember that the area of a square is side × side and not 2 × sides. (Source:www.cuemath.com)

## Area

The area of a square is calculated with the help of the formula: Area = s × s, where, 's' is one side of the square. Since the area of a square is a two-dimensional quantity, it is always expressed in square units. For example, if we want to calculate the area of a square with side 4 units, it will be: A = 4 × 4 = 16 unit.The area of a square can be calculated if the perimeter of the square is known. Since the perimeter of a square is: P = 4 × side, we can find the side of the square 's' = Perimeter/4. After getting the side, the area of a square can be calculated with the formula: A = s × s.

For example, if the perimeter of a square is 32 units, we will substitute this value in the formula: P = 4 × side. 32 = 4 × side. So, the side will be 8 units. Now, we can calculate the area of the square with side 8 units. Area = s × s = 8 × 8 = 64 square units. If a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. So, if the diameter of the circle is given, this value can be used as the diagonal of the square, and the area of the square can be calculated with the formula: Area of a square using diagonals = Diagonal²/2. Each of these right triangles has base and height both equal to the length of each side of the square. So, if the square has each side s units long, then the area of each triangle equals (Source: www.splashlearn.com)

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