A square can also be called a rectangle where both sets of opposite sides are parallel and of the same length. The area of the square will be calculated as the number of unit squares multiplied by itself, which gives one total surface area since it is a two-dimensional object. To proceed further, we need to first know about the properties of square.
Properties of square:
- It is a rectangle with four equal sides and four right angles.
- It has an area that can be expressed as the product of side length with itself.
- A 3×3 square has 9 units squared inside it because three times three gives us nine total.
- The area value will be the number of unit squares multiplied by itself, giving us total surface area since it is a two-dimensional object.
To calculate the area, the first one needs to understand the factors that affect its value:
- Number of unit squares in each horizontal row: This would be how many rows they have traced horizontally across the shape based on one unit’s length, width, or height, whichever they choose to call it. They can see from the diagram below that there are three horizontal rows with 3-3-3 squares within each row; hence when they multiply three by itself, the value of the area will become nine.
- Number of unit squares in each vertical column: This would be how many columns they have traced vertically down the shape based on one unit’s length, width, or height, whichever they choose to call it. They can see that there are three horizontal rows with 3-3-3 squares within each row; hence when you multiply three by itself the value of the area will become nine.
If one knows the square’s side length, they would multiply that number times itself to find the surface area. So for example, if they have a 3×3 square, then 9=3×3 which means the surface area will be three multiplied by it three times, giving them nine units squared. This means if we were to take that shape and cut it into 6 pieces where each piece has one unit’s width or height whichever they are choosing to call it then each piece would have an equal amount of units in both length and width/height thus giving them 6 pieces with six units squared inside them.
The formula for finding out the surface area of square is A = s*s where one side of the square has length s. This means that the value of the area will be equal to how many times over you multiplied your unit’s line which gives you a total number of squares based on one unit’s width/height whichever you choose to call it and since there are four sides and four angles in a square, we would then multiply all of those numbers together to get our final answer.
- A square can be used to make a poster and the surface area is needed for the size of the paper to determine how many papers you will need.
- A square can also be used as a design tool. For example, designers use squares to help them with balance and proportion in their drawings and buildings.
- It can also be used by teachers who give out quizzes where they want students to know that if they answer two questions correctly, then they get one mark, three then two marks, etc. Of course, this would not happen on a quiz, but it would work as an example so it is helpful in trying to explain something.
- The value of the product of side length with itself is called ‘the square of’ or ‘squaring’ of the side length. And the resulting value is called the square root of that number.
- A regular shape has all sides equal in length and all angles measuring 90◦ . Also, a regular polygon is a closed figure with three or more straight sides that are connected to form a closed path in which the beginning and endpoints are also included. A square is both of these so it is considered to be two different things at once.
These were some basic information on the square, its properties, and its area. One can always find more detailed information regarding squares on the Cuemath website.