If the length of the side is doubled,what is the ratio of the area of the original square to the area of the new square write your answer as a common fraction a decimal fraction and a percentage
When the length of the side is doubled, the new square will have a side length that is double the original.
Let's say the original square has a side length of x.
The area of the original square is x^2.
When the side length is doubled, the new square will have a side length of 2x.
The area of the new square is (2x)^2 = 4x^2.
The ratio of the area of the original square to the area of the new square is:
Original square area : New square area = x^2 : 4x^2 = 1 : 4
Therefore, the ratio is 1/4, which can also be written as 0.25 or 25%.