Flooring a room at Rs. 8.50 per square meter costs Rs. 510. If the room length is 8km, what is its breadth__________?
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Answer: A. 7.5m
Explanation
Dividing the total flooring cost by the rate per square meter determines the total area of the room. Dividing five hundred ten rupees by eight point five zero rupees gives a room area of sixty square meters. Dividing the total area by the given length value yields the correct breadth measurement of seven point five meters. The area of a rectangular room is calculated by multiplying its length dimension by its breadth dimension. Total flooring cost equals the product of the room surface area and the specific price per square meter. Dimensional analysis ensures units balance correctly when calculating geometric areas from financial cost data.
Eight point five meters miscalculates the division step required when determining the breadth from area and length. Ten point five meters is mathematically inconsistent with the derived room area of sixty square meters. Twelve point five meters overestimates the breadth and fails to produce the correct total area product.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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