Mathematics
The rate for a 1.20 m wide carpet is ₹ 40 per metre; find the cost of covering a hall 45 m long and 32 m wide with this carpet. Also, find the cost of carpeting the same hall if the carpet, 80 cm wide, is at ₹ 25 per metre.
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Answer
Given:
Dimensions of the hall = 45 m x 32 m
Area = l x b
= 45 x 32 m2
= 1,440 m2
Cost per metre of carpet = ₹40
Width of the carpet = 1.20 m
Cost per square metre = = = ₹ 33.33
Total cost = Cost per square metre x area of hall
= 33.33 x 1440
= ₹ 48,000
Width of the carpet in metres: 80 cm = 0.8 m
Cost per metre of carpet = ₹25
Cost per square metre = = = ₹ 31.25
Total cost = Cost per square metre x area of hall
= 31.25 x 1440
= ₹ 45,000
Hence, the cost of covering the hall with a 1.20 m wide carpet at ₹ 40 per metre is ₹ 48,000 and the cost of carpeting the hall with an 80 cm wide carpet at ₹ 25 per metre is ₹ 45,000.
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