If the length of the side of a square is double ,what is the area of the original square to the area of a new square?write your answers as a common fraction,decimal fraction and the percentage
Let x be the length of the side of the original square.
The area of the original square is x^2.
If the length of the side is doubled, the new length is 2x.
The area of the new square is (2x)^2 = 4x^2.
Original square area : New square area
x^2 : 4x^2
In common fraction: 1 : 4
In decimal fraction: 0.25
In percentage: 25%