A rectangular veranda is of dimension $18$ m $72$ cm $\times 13$ m $20$ cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.

4290

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4540

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4620

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4230

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Solution

The correct option is A $4290$
The edge of rectangular veranda are $18 m 72 c m = 1872 c m$ and $13 m 20 c m = 1320 c m$ .

On taking $H C F$ of $1872$ and $1320$ using prime factorisation, we get

$H C F = 24$

Therefore,
No. of tiles required $=$ $\frac{A r e a o f V e r a n d a}{A r e a o f t i l e s}$

$= \frac{1872 \times 1320}{24 \times 24}$

$= 4290$

Hence, this is the answer.

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A rectangular veranda is of dimension 18m 72cm ×13 m 20 cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.

The correct option is A 4290The edge of rectangular veranda are 18 m 72 cm=1872 cm and 13 m 20 cm=1320 cm.On taking HCF of 1872 and 1320 using prime factorisation, we getHCF=24Therefore,No. of tiles required = Area of VerandaArea of tiles =1872×132024×24 =4290Hence, this is the answer.

A rectangular veranda is of dimension $18$ m $72$ cm $\times 13$ m $20$ cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.