If the length of the side of a square is doubled,what is the ratio of the area of the original square to the area of the new square?also write you answers as a common fraction,a decimal fraction and a percentage
Let's say the length of the original square is x. Then, the length of the new square will be 2x.
The area of the original square is x^2, and the area of the new square is (2x)^2 = 4x^2.
Therefore, the ratio of the area of the original square to the area of the new square is x^2/4x^2= 1/4.
As a common fraction: 1/4
As a decimal fraction: 0.25
As a percentage: 25%