A hall-room 39 m 10 cm long and 35 m 70 cm broad is to be paved with equal square tiles. Find the number of tiles required so that the tiles exactly fit.

483

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358

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475

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583

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Solution

The correct option is B 483
length= 3910 cm
width=3570cm
3910=2 * 5 * 17 * 23
3510=2 * 3 * 5 * 7 * 17
GCF=2517=170cm
Area of tiles=170^2=28900cm^2
Area of hall=3910*3510=13958700 cm^2
Number of tiles=Area of hall/Area of tile
$N = \frac{13958700}{28900} = 483$
Answer (A) 483

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