The cost of carpetting a room 15m long with a carpet of width 75cm at rupees 80 per meter is rupees 19200. Find the width of the room.
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Given length of the room = 15m
Width of the carpet = 75 cm = 75/100 m = 3/4 m (since 100 cm = 1 m. So 75 cm = 75/100 m)
Let length of the carpet is L.
Given cost of the carpet per meter = 80 rupees
Cost of the carpet required for the room = 80*L
Again given that total cost of the carpeting = 19200
So 80*L = 19200
=> L = 19200/80
=> L = 240 m
Now area of the carpet required for the room = Length *breadth
= 3/4 * 240
= 3* 60
= 180 m2
Now let width of the room is b.
Area of the room = 15*b m2
So 15*b = 180
=> b = 180/15
=> b = 12
So width of the room is 12 m
Width of the carpet = 75 cm = 75/100 m = 3/4 m (since 100 cm = 1 m. So 75 cm = 75/100 m)
Let length of the carpet is L.
Given cost of the carpet per meter = 80 rupees
Cost of the carpet required for the room = 80*L
Again given that total cost of the carpeting = 19200
So 80*L = 19200
=> L = 19200/80
=> L = 240 m
Now area of the carpet required for the room = Length *breadth
= 3/4 * 240
= 3* 60
= 180 m2
Now let width of the room is b.
Area of the room = 15*b m2
So 15*b = 180
=> b = 180/15
=> b = 12
So width of the room is 12 m
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