The length and breadth of the floor of a rectangular hall are 126 feet and 90 feet, respectively. What will be the area (in square feet) of each of the largest identical square tiles that can be used to tile this floor in a way that no part of the floor remains uncovered?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 324.
Given that
The length of the floor of a rectangular hall = 126 feet
The breadth of the floor of a rectangular hall = 90 feet
The side of the largest identical square tiles = HCF of length and breadth of the floor area of the hall
The side of largest identical square tiles = the HCF of (126, 90) = 18 feet
Hence, the area of square tiles = 18 × 18 = 324 feet2