Question

If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

Answer 1

`(1)/(4)`

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
`s^2`

Area of the new square with side length '2s' is
`(2s)^2=4s^2`

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

`(s^2)/(4s^2) =(1)/(4)`