the perimeter of the rectangle 18cm and breadth 12cm is equal to the perimeter of a square what is the length of the side of that square
Answers
Step-by-step explanation:
Perimeter of rectangle = 2 × (l + b)
= 2 × ( 18 + 12 )
= 2 × 30
= 60 cm.
Perimeter of rectangle = perimeter of square
So, 60 = Perimeter of square
Perimeter of square = 4 × side
60 = 4 × side
60 ÷ 4 = side
15 = side
Therefore, side of square = 15 cm.
The side of the square is 15 cm
Given:
The perimeter of the rectangle is 18 cm and the breadth of 12 cm is equal to the perimeter of a square
To find:
The length of the side of that square
Solution:
Formula used:
Perimeter of Rectangle = 2 [ Length + Breadth ]
The perimeter of Square = 4 [ Side ]
From the data
The dimensions of the rectangle are
Length = 18 cm and Breadth = 12 cm
Using the formulas
Perimeter of rectangle = 2 [ 18 + 12 ] = 60 cm
From the data,
The perimeter of a rectangle = Perimeter of a square
Perimeter of square = 60 cm
Let 'x' be the side of the square
=> Perimeter of square = 4x
=> 4x = 60
=> x = 15 cm
Therefore,
The side of the square is 15 cm
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