side 1.3 cm perimeter of square
Answers
Answer:
The formula of perimeter and area of square are explained step-by-step with solved examples.
If 'a' denotes the side of the square, then, length of each side of a square is 'a' units
perimeter and area of square
Perimeter of square = AB + BC + CD + DA
= (a + a + a + a) units
= 4a units
● Perimeter of the square = 4a units
We know that the area of the square is given by
Area = side × side
A = a × a sq. units
Therefore, A = a² square units
Therefore, a² = A Here, a is the side of the square.
Therefore, a² = √A
Therefore, side of the square = √Area
● Side of the square = P/4 units
● Area of the square = a × a = (P/4)² sq. units
● Area of square = 1/2 × (diagonal)² sq. units
● Length of the diagonal = √(a² + a²) = √(2a²^2) = a√2 units
Worked-out examples on Perimeter and Area of the Square:
1. Find the perimeter and area of a square of side 11 cm.
Solution:
We know that the perimeter of square = 4 × side
Side= 11 cm
Therefore, perimeter = 4 × 11 cm = 44 cm
Now, area of the square = (side × side) sq. units
= 11 × 11 cm²
= 121 cm²
Step-by-step explanation:
Side (a) = 1.3cm
Perimeter = 4a
=> 4 × 1.3
=> 5.2 cm