a school has a hall which is 22 metre long and 15.5 metre broad a carpet is lead inside the hall living all around the margin of 75 cm for the wall find the area of the carpet at the area of the strip left and covered it if the with the carpet is 82 cm find it cost of a rate of 60 rupees per metre
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Step-by-step explanation:
Length = 22 m and Breadth = 15.5 m
The area of the hall = L × B = 22 × 15.5 = 341 m²
Margin of carpet = 75 cm = 0.75 m
Area of carpet = (22 - 2 × 0.75) (15.5 - 2 × 0.75)
⇒ (22 - 1.5) (15.5 - 1.5)
Area of the carpet = 20.5 × 14 = 287 m²
Portion uncovered = 341 - 287 = 54 m²
A meter length of the carpet = 1 m × 0.82 m = 0.82 m²
287/0.82 = 350 m of carpet
Cost of fencing the strip = Rs.60 per meter
Cost of fencing the strip = 350 × 60
= Rs. 21000
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