Math, asked by shivansh0305, 11 months ago

how many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively - (a) 100 cm and 144 CM (b) 70 cm and 36 CM

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Answered by MrPerfect12
63
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Answered by xItzKhushix
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\huge\mathfrak{\underline{Correct\:Question:}}

How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively?

(a) 100 cm and 144 cm

(a) 100 cm and 144 cm(b) 70 cm and 36 cm

______________________________

Answer:-

Given that:-

  • Length of tiles = 12cm

  • Breadth of tiles = 5cm.

  • Length and breadth of rectangular region
  • (a) 100 cm and 144 CM
  • (b) 70 cm and 36 CM

To find:-

  • Number of tiles to be fitted in rectangular region.

\bold{According\:to\:question}

(a) Area of rectangle = 100 × 144

= 14400 cm

Area of one tile = 5 × 12

= 60 cm^2

Number of tiles = (Area of rectangle) / (Area of one tile)

= 14400 / 60

= 240

Hence, 240 tiles are needed

(b) Area of rectangle = 70 × 36

= 2520 cm^2

Area of one tile = 5 × 12

= 60 cm^2

Number of tiles = (Area of rectangle) / (Area of one tile)

= 2520 / 60

= 42

Hence, 42 tiles are needed.

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