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Question
The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.
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Solution
Area of floor of a room
= 6m x 5m
= 30m2
Let the length of the carpet that is 50cm wide be l m.
∴ Area of carpet
= length x breadth
= l m x 50cm
= l x 0.5m2
Since area of carpet
= Area of floor of a room
⇒ l x 0.5 = 30
⇒ l `(30)/(0.5)`
= 60m
∴ Cost of carpet at Rs.24.50per mate
= Rs.60 x 24.50
= Rs.1470
Let the length of the carpet that is 60cm wide be L m.
∴ Area of carpet
= length x breadth
= l m x 60cm
= l x 0.6m2
Since area of carpet
= Area of floor of a room
⇒ l x 0.6 = 30
⇒ l `(30)/(0.6)`
= 50m
∴ Cost of carpet at Rs.26per mate
= Rs.50 x 26
= Rs.1300.
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