A rectangle's length increases by 10% and breadth drops by 10%. What is the area of the resulting rectangle_________?
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Answer: C. Decreased by 1%
Explanation
Sequential percentage modifications to rectangle dimensions alter total area through compounded multiplicative scaling factors. Scaling length by a factor of one point one and breadth by zero point nine results in zero point nine nine. A product value of zero point nine nine represents a net decrease of exactly one percent in area. Successive percentage changes of equal magnitude in opposite directions always result in a net decrease in area. Rectangle area is determined by multiplying length and breadth dimensions together in standard coordinate space. Decimal multipliers simplify multi-step percentage calculations compared to traditional fraction conversion methods.
Option A asserts the area remains unchanged which ignores the compound mathematical effect of successive changes. Option B asserts a one percent increase which incorrectly assumes positive and negative percentage changes cancel out. Option D asserts a ten percent decrease which confuses individual dimensional changes with total calculated area.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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