Square is a two-dimensional geometric shape reasonably prevalent in our surroundings. There are many real-life examples of squares, from floor tiles to chess boards. Finding the perimeter and area of square-shaped objects is an important life skill that finds its applications in various fields. One of the most basic applications of the area of square is to determine the paint or wallpaper required to cover a wall. Knowledge of the square shape, its properties, and important formulas like the area and perimeter enables students to visualize these concepts in real life easily.
What is a Square?
The square is a type of quadrilateral with four sides and four vertices. This two-dimensional shape has four equal sides that form four right angles at each corner.
All square shapes can be characterized by only one dimension, i.e., the length of its side. Since the length of all four sides is equal, the perimeter of the square is calculated by adding the length of all four sides. The area of a square is the entire space occupied by it.
Properties of Square:
- Two opposite sides of a square are parallel.
- The length of all four sides of a square shape is equal to each other.
- All four angles of a square are right angles. i.e., each angle of a square measures 90º.
- All squares are rectangles, but not all rectangles are squares.
Area of a Square.
The area of a square is the region occupied within the boundary of a square. Some of the examples of objects that shape like a square are walls, waffles, square wall clock, etc. Finding the area of a square is useful to estimate the space occupied by these objects. The formula to calculate the area of a square is (s)^2 square units where ‘s’ is the length of the side of a square. If only the length of diagonal ‘d’ of the square is provided, we can use the formula (d2 / 2) to calculate the area of the square.
For example, if the measure of one side of the square is 4 inches, then the area of the square is:
(4)^2 = 4 x 4 = 16.
Hence, the area of the square is 16 inches.
The fact that all four sides of a square are equal makes it easy to determine the length of one of the sides when the area of the square is known. For instance, if the area of the square is denoted by A, and L denotes the length of each side, then the length of side ‘L’ is equal to the square root of ‘A’.
The perimeter of a square is the length of the boundary of the square. Knowing the perimeter is applied in many disciplines, like architecture and construction. Calculating the perimeter of a square is a simple process that involves a few short steps. The first step is to ensure the shape is a square. If all the four sides are of the same length, and all four angles are right angles, you can easily find its perimeter by using formula 4 X S, where S is the length of a side of the square.
For example, if the measure of one side of the square is 6 inches, then the perimeter of the square is:
6 * 4 = 24; or
6 + 6 + 6 + 6 = 24
Therefore, the perimeter of a square is 24 inches.
Gaining an in-depth understanding of squares and their properties is an important skill that students can master by solving problems and exercises based on finding a square’s area and perimeter. Cuemath provides the best geometry worksheets for students to learn and practice these concepts with ease. You can easily find some of these worksheets on Cuemath.com.