Question

whatThe length and breadth of a rectangle are 12 cm and 9 cm respectively. Find the side of the square with its

perimeter equal to that of the rectangle.​

Answer 1

Answer:

Given: Length and Breadth of the rectangle are 12cm and 9cm respectively.

To find: The side of a square with its perimeter equal to that of the rectangle.

Answer:

First, let's find the perimeter of the rectangle.

Formula: Perimeter = 2(l + b)

Substituting the respective values,

Perimeter = 2(12 + 9)

Perimeter = 2*21

Perimeter = 42cm

Now, perimeter of the rectangle = perimeter of the square.

So, Formula (to find perimeter of a square): 4S = Perimeter.

Substituting the value of the perimeter,

4S = 42cm

S = 42cm/4

S = 10.5cm

Proof:

Perimeter of a square = 4S

Substituting the value of S,

4*10.5 = 42cm

Hope it helps :)

Step-by-step explanation:

Answer 2

Answer:

Let the side of square be s

Perimeter of rectangle =2 (l+b)

=2 (12+9)

=2×21

, =42 cm

Perimeter of square=4×side

=4×s

According to question ,

42=4s

s=42÷4=10.5

Side of square=10.5cm