A rectangular courtyard measuring 3.78 m × 5.25 m is to be paved with square tiles of the same size. What is the largest tile size that can be used for this purpose?
Show answer & explanation
Correct answer: B
Explanation
Given:
Size of courtyard = 3.78 m × 5.25 m
Formula:
Side of largest square tile = HCF (both sides)
Convert meters to cm
3.78 m = 378 cm
5.25 m = 525 cm
HCF (378, 525)
378 = 2 × 3³ × 7
525 = 3 × 5² × 7
HCF = 3 × 7 = 21 cm