A rectangle's length and breadth differ by 23 m. If its perimeter is 206 m, what is its area__________?
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Answer: D. 2520 m2
Explanation
The perimeter of a rectangle equals twice the sum of its length and breadth. Dividing the perimeter of two hundred six by two gives a length plus breadth sum of one hundred three. Solving the simultaneous equations yields a length of sixty three and breadth of forty, resulting in an area of twenty five twenty. Rectangular area is calculated by multiplying the measured length by the measured breadth. Perimeter represents the total continuous distance surrounding the outside boundary of a geometric shape. Simultaneous linear equations provide a systematic method for finding unknown rectangle dimensions.
Real estate professionals calculate room and land areas using perimeter and dimension constraints. Construction planning requires accurate area computations to estimate flooring and painting material needs. Landscaping projects rely on rectangular dimension formulas to fence and pave yards efficiently. Option A underestimates the total area by using incorrect length and breadth values. Option B represents a calculation error arising from mismatched dimension pairs. Option C is slightly too low and fails to match the precise product of length and breadth.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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