Question

if the side of a square is doubled find the ratio of the area of the resulting square to that of the given square

Answer 1

The ratio is 1:4 (area)

Answer 2

Side of Square = x

Side is double = 2x

$ratio \: of \: square = \frac{2x \times 2x}{x \times x} \\ = \frac{4}{1} = 4:1$