a banquet Hall is 22 m Long and 16.5 m broad. a carpet is laid inside the Hall leaving a margin of 75 cm from the wall all around. find the area of carpet. if width of the carpet is 85 cm, find it's cost at the rate of ₹ 50 per m.
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Answer:
₹ 17,672.5
Step-by-step explanation:
Given: Length = 22 m
Breadth = 16.5 m
The area of the hall = L × B = 22 × 16.5 = 363 m²
Margin of carpet = 75 cm = 0.75 m
Area of carpet = (22 - 2 × 0.75) (16.5 - 2 × 0.75)
⇒ (22 - 1.5) (16.5 - 1.5)
Area of the carpet = 20.5 × 15 = 307.5 m²
Portion uncovered = 363 - 307.5 = 55.5 m²
A meter length of the carpet = 1 m × 0.82 m = 0.82 m²
307.5/0.82 = 353.45 m of carpet
Cost of fencing the strip = ₹ 50 per meter
Cost of fencing the strip = 353.45 × 50
= ₹ 17,672.5
i.e. 17,672 rupees 50 paise
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