A room measures $ 4.8 \mathrm{m} $ and $ 5.04 \mathrm{m} $. Find the size of the longest square tile that can be used to tile the floor without cutting any tile.


Given: The room measures 4.8 m and 5.04 m

To find: The size of the longest square tile that can be used to tile the floor

Solution:

In  cm, the room measures 480 cm and 504 cm

The longest square tile will have a length that is HCF of 480 and 504

$480 = 2^5 × 3 × 5;$

$504 = 2^3 × 3^2 × 7;$

$HCF = 2^3 × 3 = 24$

So the longest square tile will have a length 24 cm  

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Updated on: 10-Oct-2022

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