Math, asked by npavithra33, 3 months ago

a flooring tile is a parallelogram who base is 12cm and the corresponding height is 5cm how many such tiles are requires to cover a floor of 3600 m²​

Answers

Answered by sarita8421
38

Required question:

flooring tile is a parallelogram whose base is 12cm and the corresponding height is 5 cm how many such tiles are required to cover a floor of 3600m²

AnsWer:-

600,000 tiles are required to cover the area of 3600m²

let's find out !!

given :-

  • height = 5cm
  • base = 12cm
  • area of floor is = 3600m²

convert height and base into meter.

so,

  • height = 5/100 = 0.05m
  • base = 12/100 = 0.12m

using formula:-

area of parallelogram is = base x height

>> 0.05 x 0.12

>> 0.006

hence the area of parallelogram is 0.006m²

now find the number of tiles are required to cover 3600m² floor.

give:-

 =  \geqslant  \frac{area \: of \: floor}{area \: of \: 1 \: tile}

so,

  • area of floor = 3600m²
  • area of 1 tiles = 0.006m²

find:-

 =  \geqslant  \frac{3600}{0.006}  \times 1000

 =  \geqslant 600000

hence 600,000 tiles required to cover the area of 3600m²

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>> related question:-

A floor tile has the shape of a parallelogram whose base is 24cm and the corresponding height is 10cm. how many such tiles are required to convert a floor of area 1080m²?

AnsWer:

45000 tiles are required to cover the area of 1080m²

let's find out !!

given:

  • the base and height of parallelogram is:

  • height = 10cm
  • base = 24cm
  • area of floor is 1080m²

convert height and base into meter !!

  • height = 10 = 10/100 = 0.10m
  • base = 24 = 24/100 = 0.24m

find area of parallelogram :

using formula:

area = base x height

>> area = 0.10 x 0.24

>> area = 0.024m²

now, find the number of tiles are required to cover 1080m² floor

give : area of floor÷area of 1 tile

so,

>> 1080÷0.024

>> 45000

hence, 45000 tiles are required to cover the area of 1080m².

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