Final answer:
60 falls between the perfect squares 49 (7²) and 64 (8²). The closest options provided that encompass 60 are 25 and 49; thus, based on the choices provided, the most accurate answer is A) 25 and 49.
Step-by-step explanation:
The question asks for the two perfect squares between which the number 60 falls. A perfect square is the product of a number multiplied by itself. To find the two perfect squares around 60, we need to identify the square roots closest to 60 and then square those numbers to find the perfect squares.
The largest whole number whose square is less than 60 is 7 because 7² = 49. The smallest whole number whose square is more than 60 is 8 because 8² = 64. Hence, the two perfect squares between which 60 falls are 49 and 64.
The options given do not include 64, but since 49 is one of the options, and 64 is indeed larger than 60, the closest pair from the given options that would bracket 60 are 49 and the next perfect square larger than it, which is 64. Thus, the correct answer is: A) 25 and 49, as 25 is lower and 49 is higher than 60 and they are the given numbers closest to the actual answer within the options provided.