Area of Square – Definition & Formula

Let’s first discuss what the term area means. The object’s area is the amount of space it takes up. It’s the area that any shape can occupy. We only consider the length of a square’s side when calculating its area. A square’s area is known to be equal to the square of its sides, hence its area is equal to the square of its sides.

We may also calculate the area of various forms depending on their sides, such as rectangles, parallelograms, triangles, and polygons. For curved surface objects, the area is calculated using the radius, or the distance between the outer line and the axis.

For instance, consider the circle. 

In this article, we are going to discuss the topics- area of square, the formulas as well as the definition of the perimeter of the square.

What is the Perimeter of Square?

The whole length that a square’s edge covers are defined as its perimeter. Finding the distance around any closed geometrical object yields the perimeter of that object. The perimeter of a square may be computed by adding all of the sides together.

Example – Calculate the perimeter of square whose sides are each 5 units long.

Solution: The side length of a square equals seven units.

Using the perimeter of a square formula, we know that

Perimeter formula = 4* side

Therefore, perimeter of a square = 4*5 = 20 units

Definition – Area of Square

The area of a square is defined as the number of square units necessary to fill it. To put it another way, while calculating the area of a square, we take into account the length of its side. Because both of a square’s sides are equal, its area equals the product of its two sides. The area of a square is commonly measured in square meters, square feet, square inches, and square centimeters.

Other dimensions, such as the diagonal and square perimeter, can also be used to calculate the size of a square.

Formula – Area of Square

To find the area of a square you need to multiply any two sides of a square since all the sides of a square are equal.

Area of square formula = Side * Side, where side = any side of the square

Let’s go through a few examples, suppose we have a square labeled ABCD. The measures of the sides of the square are as follows: AB – 5cm, BC – 5cm, CD – 5cm, DA – 5cm. Now we need to calculate the area of the given square. 

We already know the formula to calculate the area of a square, the formula to calculate the area of a square = s*s, therefore, Area of Square = 5cm * 5cm = 25cm2

So, the area of the square is equal to 25cm2.

Area of Square Pointers

Take note of the following points to keep in mind as we calculate the area of a square.

  • When estimating the area of a square, we often make the error of doubling the amount. This is not the case! Always remember that the area of a square is divided by the number of sides, not by the number of sides.
  • We must remember to write the area’s unit when representing it. The area of a square is two-dimensional, but its side is one-dimensional. As a result, a square’s area is always expressed in square units. A square with a side of 3 units, for example, has a surface area of 3 3 = 9 square units.

If you want to know more about the area as well as the perimeter of a square, you can visit the Cuemath website to understand the topic in a fun and interesting way!

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