A BANQUET HALL IS 25 M LONG AND 17 M BROAD. A CARPET IS LAID INSIDE THE HALL LEAVING ALL AROUND A MARGIN OF 50 CM FROM THE WALLS. FIND THE AREA OF THE CARPET AND THE AREA OF THE STRIP LEFT UNCOVERED. IF THE WIDTH OF THE CARPET IS 96 CM, THEN FIND ITS COSTS AT THE RATE OF 20 RS PER METRE.
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Answer:
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Step-by-step explanation:
Area of the carpet = 384 m²
Area of uncovered stripe = 41 m²
cost of the carpet = ₹ 8016
Step-by-step explanation:
Length of the hall = 25 meter
Breadth of the hall = 17 meter
Area = Length × Breadth
Area of the hall = 25 × 17 = 425 meter²
Leaving margin of 50 cm from the walls. Convert 50 cm to meter.
100 cm = 1 meter
50 cm = 50 ÷ 100 = 0.5 meter
Now the length to cover from the carpet = 25 - 0.5 -0.5 = 24 meter
Breadth to cover from the carpet = 17 - 0.5 -0.5 = 16 meter
Area of the carpet = 24 × 16 = 384 meter²
Area of stripe uncovered = total area of the hall - area of the carpet
= 425 - 384 = 41 meter²
If the width of the carpet = 96 cm
Breadth to cover = 16 meter
16 meter = 16 × 100 = 1600 cm
number of carpet strips needed for 16 meter broad area = 1600 ÷ 96 = 16.67
16.67 carpet strips of 24 meter (after leaving 50 cm both side) is needed.
Total length of the carpet = 16.7 × 24 = 400.8 meter
cost of 1 meter carpet = 20 Rs.
cost of 400.8 meter carpet = 400.8 × 20 = 8016.00 Rs.