A room measures 12.25 meters in length and 7 meters in width. What is the largest possible side length of a square tile (in centimeters) that can exactly cover the floor without cutting any tiles?

Explanation

To find the largest square tile size that fits perfectly, we need the greatest common divisor (GCD) of the room's length and width. Converting 12.25 m to 1225 cm and 7 m to 700 cm, the GCD of 1225 and 700 is 175 cm. Therefore, the biggest square tile side length is 175 cm.