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Find the cost of carpeting the room

Question 1

A room is 125 m long and 10 m broad. Find the cost of carpeting the room with a carpet of width 5 m at the rate of ₹ 20 per metre?

Explanation

Length of the room = 125 m

Breadth of the room = 10 m

Area of the floor of the room = ( 125 x 10 ) { m }^{ 2 } = 1250 { m }^{ 2 }

Area of carpet required = 1250 { m }^{ 2 }

Length of the carpet = \cfrac { area\quad of\quad carpet }{ Width\quad of\quad carpet } = \cfrac{1250 { m }^{ 2 } }{5 m} = \cfrac{1250 m}{5} = 250 m

Rate of carpeting = 20 per metre.

Cost of carpeting = ₹ ( 250 x 20 ) = ₹ 5000

 

Question 2

A room is 36 m long and 14 m broad. Find the cost of carpeting the room with a carpet of width 1.4 m at the rate of ₹ 12 per metre?

Explanation

Length of the room = 36 m

Breadth of the room = 14 m

Area of the floor of the room = ( 36 x 14 ) { m }^{ 2 } = 504 { m }^{ 2 }

Area of carpet required = 504 { m }^{ 2 }

Length of the carpet = \cfrac { area\quad of\quad carpet }{ Width\quad of\quad carpet } = \cfrac{504 { m }^{ 2 } }{1.4 m} = \cfrac{504 m}{1.4} = 360 m

Rate of carpeting = 12 per metre.

Cost of carpeting = ₹ ( 360 x 12 ) = ₹ 4320

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