A rectangular courtyard 3.78m long and 5.25m broad is to be paved exactly with square tiles, all of the same size the minimum number of such tiles is - IQ786

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A rectangular courtyard 3.78m long and 5.25m broad is to be paved exactly with square tiles, all of the same size the minimum number of such tiles is

A rectangular courtyard 3.78m long and 5.25m broad is to be paved exactly with square tiles, all of the same size the minimum number of such tiles is

440

430

21

none of these

Explanation

21

Solution

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Correct option is B)

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

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

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 $= 3 \times 7$
$∴$ $H . C . F = 21$

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