Q14 of 97 Page 780

A room 4.9 m long and 3.5 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, finds its cost at RS. 80 per metre.

Given:


Length = 4.9 m


Breadth = 3.5 m


Margin = 25 cm = 0.25 m


Breadth of carpet = 80 cm = 0.8 m


Cost = Rs 80 per meter



Now,


Length to be carpeted = 4.9 m - (0.25 + 0.25) m


= 4.4 m


Breadth to be carpeted = 3.5 m - (0.25 + 0.25) m


= 3 m


Therefore,


Area to be carpeted = Length to be carpeted × Breadth to be carpeted


= 4.4 m × 3 m


= 13.2 m2


Area of carpet = Area to be carpeted = 13.2 m2


Now,




= 16.5 m


Now,


Cost of 1 m carpet = Rs 80


Therefore,


Cost of 16.5 m carpet = Rs 80 × 16.5 m


= Rs 1,320


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