Multiple choice

A rectangular field measures 480 m x 144 m and is to be paved with square tiles. The owner wants the field to be paved with SQUARE tiles with MAXIMUM covering area. Find the size of such a square tile and the total number of tiles equired to completely pave the field.

  1. 96 & 7 respectively

  2. 24 & 120 respectively

  3. 48 & 30 respectively

  4. 36 & 54 respectively

  5. 72 & 7 respectively
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct.

The maximum size of square tile shall be equal to the Greatest Common Divisor (GCD) of the length and breadth, i.e. 480, 144, which is 48. 

The total no. of tiles is = 480 x 144/(48 X 48) = 30.

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