If the length and breadth of a rectangle is doubled, how many times will the perimeter of the new rectangle be that of original rectangle ?

Explanation

Let the length and breadth of a rectangle be x cm and y cm respectively.
Its perimeter= (2x+2y)cm= 2(x+y) cm
Now, the new length is 2x cm and the new breadth to 2y cm.
The perimeter of this new rectangle= `2xx2x+2xx2y`=4x+4y.
4x+4y=4(x+y) cm.
From (2) and (1) 4(x+y) cm is twice 2(x+y) cm
The perimeter of the new rectangle is twice the perimeter of the original rectangle.