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 the original side length of the square be x.
Original area = x^2
If the length of the side is doubled, the new side length will be 2x.
New area = (2x)^2 = 4x^2
Ratio of original area to new area = (x^2)/(4x^2) = 1/4
As a common fraction: 1/4
As a decimal fraction: 0.25
As a percentage: 25%