Examples on Squares
Some Examples on Square Formulas are,
Example 1: A square has one of its sides measuring 24 cm. Calculate its area and perimeter.
Solution:
Given,
- Side of Square = 24 cm
Area of Square = a2
Area of Square = 24 × 24 = 576 sq cm
Perimeter of Square = Sum of all sides of square = a + a + a + a = 4a
P = 4 × 24
P = 96 cm
Hence, area of square is 576 sq. cm and perimeter of square is 96 cm.
Example 2: Find the area of a square park whose perimeter is 420 ft.
Solution:
Given,
- Perimeter of Square Park = 420 ft
Perimeter of a Square = 4 × side
4 × side = 420
Side = 420/4
Side = 105 ft
Formulae for Area of a Square = side2
Hence, Area of Square Park = (105)2
A = 105 × 105 = 11025 ft2
Thus, area of a square park whose perimeter is 420 ft is 11025 ft2
Example 3: A rectangular floor is 40 m long and 30 m wide. Square tiles, each of 4 m side lengths, are to be used to cover the floor. What will be the total number of tiles which will be required to cover the floor?
Solution:
Given,
- Length of Floor = 40 m
- Breadth of Floor = 30 m
Area of Rectangular Floor = length × breadth = 40 m × 30 m = 1200 sq. m
Side length of one tile = 4 m
Area of one tile = side × side = 4 m × 4 m = 16 sq. m
Now number of tiles needed = Total Area of Floor / Area of One Tile = 1200 /16 = 75 tiles
Total 75 tiles are needed to cover the area of rectangular floor of 1200 sq m.
Example 4: Find the area of a square park whose diagonal is 15 m.
Solution:
Given,
- Diagonal of Square Park = 15 m
Area of a Square Formula when Diagonal is Given = (d)2 / 2
Hence, Area of Square Park = (15)2/ 2
A = (15 × 15) / 2 = 225 / 2 = 112.5 sq. m
Thus, area of a square park whose diagonal is 15 m is 112.5 sq. m.
Square in Maths – Area, Perimeter, Examples & Applications
Square is a type of quadrilateral with four sides. What distinguishes a square from other quadrilaterals is that all four sides of a square are of equal length, and all four interior angles are right angles (90 degrees).
Let’s learn about Square, including its properties, area, perimeter, examples, practice problems, and applications of Square in real life.
Table of Content
- What is a Square?
- Square Shape
- Square Examples
- Properties of Square
- Square Formulas
- Area of Square
- Perimeter of Square
- Diagonal of Square
- Construction of Square
- Applications of Squares in Real Life
- Examples on Squares
- Practice Questions on Square