the length and breadth of a rectangle are 12 cm and 9cm respectively find the side of the square with its perimeter equal to that of the rectangle
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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 :)
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