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? Choose the correct option
A) 1 : 4 B) 2 : 4 C) 3 : 4 D) 4 : 4 E) 5 : 4

Rationale: solution if x be the side of the original square , then its area is equal to x 2 if x is doubled to 2 x , then the new area is equal to ( 2 x ) 2 = 4 x 2 the ratio of the areas of the original square to the area of the new square x 2 / ( 4 x 2 ) = 1 / 4 or 1 : 4 answer is a
Answer: A