A school has a hall which is 22 m long and 15.5 m broad . A carpet is laid inside the leaving all around a margin of 75 cm from the walls . Find the area of the carpet and the area of strip left uncovered . If the width of carpet is 82cm ,find its cost at the rate of Rs60 per m.
30
654.50
To find the area of the carpet, we first need to calculate the dimensions of the carpet by subtracting the margin from the original length and breadth of the hall.
Margin from the walls = 75 cm
Width of the carpet = 82 cm
Adjusted length = Length of the hall - 2 x Margin from the walls
= 22 m - 2 x 0.75 m
= 20.5 m
Adjusted breadth = Breadth of the hall - 2 x Margin from the walls
= 15.5 m - 2 x 0.75 m
= 14 m
Now, we can calculate the area of the carpet using the adjusted length and breadth:
Area of the carpet = Adjusted length x Adjusted breadth
= 20.5 m x 14 m
= 287 square meters
To calculate the area of the strip left uncovered, we subtract the area of the carpet from the area of the hall:
Area of the strip = Area of the hall - Area of the carpet
= Length of the hall x Breadth of the hall - Area of the carpet
= 22 m x 15.5 m - 287 square meters
= 341 square meters
Now, to find the cost of the carpet, we need to convert the width of the carpet from cm to m:
Width of the carpet = 82 cm = 82 cm ÷ 100 cm/m = 0.82 m
Finally, we can calculate the cost of the carpet at the rate of Rs60 per m:
Cost of the carpet = Area of the carpet x Cost per m
= 287 square meters x Rs60/m
= Rs17,220
carpeted area is (22-1.5)(15.5-1.5) = 287 m^2
margin area = 22*15.5 - 287 = 54 m^2
carpeted area is 14m wide, so it will take 17.07 strips of carpet. Call it 17.
17*20.5*60 = Rs 20910