Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Let 's' be the side of the original square
the length of the side of a square is doubled, so the length of the new square is 2s
Area of the original square with side length 's' is [tex]s^2[/tex]
Area of the new square with side length '2s' is [tex](2s)^2=4s^2[/tex]
Area of the new square is 4 times the area of the original square
ratio of the areas of the original square to the area of the new square
[tex]\frac{s^2}{4s^2} =\frac{1}{4}[/tex]
