A rectangular room measures 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. What is the minimum number of square tiles, all of the same size, needed to completely cover the floor?

Explanation

Convert the dimensions to centimeters: Length = 624 cm, Width = 432 cm. Find the highest common factor (HCF) of 624 and 432, which is 48 cm. The side of the largest square tile is 48 cm. Number of tiles = (624 ÷ 48) × (432 ÷ 48) = 13 × 9 = 117.