Question : 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?
Option 1: 484
Option 2: 256
Option 3: 324
Option 4: 196
Correct Answer: 324
Solution :
We require the largest identical square tiles, the size of the tile is given as the HCF of two sides of the room.
The Length of rectangular floor = 126 feet
The breadth of rectangular floor = 90 feet
126 = 2 × 3 × 3 × 7
Similarly, 90 = 2 × 3 × 3 × 5
So, HCF = 2 × 3 × 3 = 18
So, the area of the square = (Side)$^2$ = $(18)^2$ = 324 square feet
Hence, the correct answer is 324.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
