Question

Question:-
How many tiles of length 12cm and breadth 10 cm will be needed to fit in a
rectangular area of length and breadth 96 cm and 40 cm respectively?

Answer 1

Answer:

32

Step-by-step explanation:

area of tile = 12*10 = 120cm square

area of rectangular area = 96*40 = 3840cm square

3840/120 = 32 tiles

answer = 32

Answer 2

Given:

• Length and Breadth of tiles are 12 cm and 10 cm. And, length and Breadth of the rectangular area are 96 cm and 40 cm respectively.

To find:

• How many tiles are needed to fit in the rectangular area?

Solution: First, we'll find out the area of the rectangular tile.

As we know that, to calculate the area of rectangle formula is given by :

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$\;\dag\;\boxed{\frak{\pink{Area_{\;(rectangle)} = L \times B}}}$

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• Here, L is length and B is Breadth of the rectangular tile. Length and Breadth is given, 12 cm and 10 cm.

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Therefore,

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$:\implies\sf Area = 10 \times 12 \\\\\\:\implies\sf Area = 120\;cm^2$

•°• Area of rectangular tile is 120 cm².

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Similarly,

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• Finding the area of rectangular region by using the same formula. Length and Breadth are given.

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Therefore,

$:\implies\sf Area = 96 \times 40 \\\\\\:\implies\sf Area = 3840 \; cm^2$

•°• Area of rectangular region is 3840 cm ².

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Now, calculating the number of tiles will be needed to fit in a rectangular area :

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$\dag\;\pmb{\boxed{\frak{ \pink{Number\; of \; tiles = \dfrac{Area\:of\: rectangular\: region}{Area\:of\:tiles}}}}}$

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$:\implies\sf No.\:of\;tiles = \dfrac{3840}{120} \\\\\\:\implies\sf No.\:of\;tiles = \cancel\dfrac{3840}{120}\\\\\\:\implies{\underline{\boxed{\frak{\pink{No. \:of\;tiles = 32}}}}}\;\bigstar$

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$\therefore\:\underline{\textsf{\textbf{32 tiles} are required to fit in a rectangular area}}.$