Question

A rectangular courtyard $3.78$ metres long and $5.25$ metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?

• A. $14$ cm
• B. $21$ cm
• C. $42$ cm
• D. None of these

Answer 1

The correct option is B $21$ cm

Breadth of a rectangular courtyard $=3.78m=378cm$

Length of a rectangular courtyard $=5.25m=525cm$

Now, we have to find H.C.F os $378$ and $525$

$378=2\times 3\times 3\times 3\times 7$

$525=5\times 5\times 3\times 7$

Common factore$=3\times 7$

$\therefore$ $H.C.F=21$

Hence largest size of square tiles that can be paved exactly with square tiles is $21cm.$