Find the least number of square tiles required to pave the floor of a room 15…

2016

Find the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad.

  1. A.

    902

  2. B.

    800

  3. C.

    814

  4. D.

    None of these

Attempted by 7 students.

Show answer & explanation

Correct answer: C

First, convert dimensions to cm: 15 m 17 cm = 1517 cm and 9 m 2 cm = 902 cm.

To find the least number of square tiles, maximize tile size by finding HCF(1517, 902) = 41 cm.

Number of tiles = (1517/41) × (902/41) = 37 × 22 = 814.

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