Question

If the perimeter of a rectangle obtained by increasing one side of a square by 2cm and decreasing another side by 2cm is 64cm then find the side of original square​

Answer 1

Answer:

Original side of square = 12 cm

Step-by-step explanation:

Let side of the square = a cm

If one side of a square is increased by 2 cm

and other side is reduced by 2 cm , a rectangle 

is formed 

Dimensions of the rectangle 

length = ( a + 2 ) cm

Breadth = ( a - 2 ) cm

According to the problem given ,

Perimeter of the rectangle = 48 cm

2( l + b ) = 48

2 [ a + 2 + a - 2 ] = 48

2 × 2a = 48

4a = 48

a = 48 / 4

a = 12

Therefore side of the original 

square = a = 12 cm