Question

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His many tiles of length 12 cm and breadth 6 cm will be needed to fit In a rectangular area of length and breadth 96 cm and 39 cm respectively?​

Answer 1

Given :-

• Length of tile = 12 cm
• breadth of tile = 6 cm
• Length of rectangle = 96 cm
• breadth of rectangle = 39 cm

To Find :-

• number of tiles required to fit in a rectangular field ?

Solution :-

we know that,

$\boxed{ \orange{ \bold{area \: of \: rectangle = l \times b}}}$

$\bold{: \implies area \: of \: tile = 12 \times 6 } \\ \\ \bold{: \implies 72 \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, area of one tile is 72 cm²

now,

$\bold{: \implies area \: of \: field = 96 \times 39} \\ \\ \bold{: \implies 3744 \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, area of the rectangular field is 3744 cm²

then,

$\boxed{\bold{ no. \: of \: tiles = \frac{area \: of \: field}{area \: of \: one \: tile} }}$

$\bold{: \implies \cancel \frac{3744}{72} } \\ \\ \bold{: \implies 52 } \: \: \: \: \: \:$

hence, 52 tiles are required to fit the rectangular field

Answer 2

52 tiles needed to fit in a rectangular area