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Question
The cost of flooring a hall of ₹64 per square meter is ₹2,048. If the breadth of the hall is 5m, find:
(i) its length.
(ii) its perimeter.
(iii) cost of fixing a border of very small width along its boundary at the rate of ₹60 per square meter.
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Solution
∵ Total cost of flooring the room = ₹ 2048
and, cost of flooring per square meter = ₹ 64
∴ Area of the room = `"Total cost of flooring"/"cost of flooring per square meter"`
`= 2048/64` m2 = 32 m2
(i) ∵ length × breadth = area
⇒ length × 5 m = 32 m2
⇒ length = `(32 "m"^2)/"5 m"` = 6.4 m
(ii) Perimeter = 2 × (length + breadth)
= 2 × (6.4 m + 5 m)
= 2 × 11.4 m
= 22.8 m
(iii) Cost of fixing a border at the rate of ₹ 60 per m2 = Perimeter × Rate of fixing per meter
= 22.8 × 60
= ₹ 1,368
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