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.

Foundation

Mathematics Foundation

Real Number Properties

Question

A rectangular veranda is of dimension

18

72

\times 13

20

cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.

4620

4540

4230

4290

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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

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.