A rectangular courtyard measures 3.78 meters in length and 5.25 meters in width. It is to be completely covered with square tiles of identical size without cutting any tile. What is the smallest number of tiles needed to cover the courtyard exactly?

Explanation

To find the minimum number of square tiles required, determine the largest square tile size that exactly divides both the length and width of the courtyard. Then, divide the courtyard's area by the area of one such tile to get the total number of tiles needed. The correct answer is 450.