Discussion
The perimeter of a rectangle is 410 m and its length is 123 m. The breadth of the rectangle (in m) is :
Answer: A
The breadth is 82 m.
For a rectangle, perimeter \(= 2(l + b)\). With perimeter 410 m and length 123 m:
\[ \begin{aligned} 2(123 + b) &= 410 \\ 123 + b &= 205 \\ b &= 82\ \text{m} \end{aligned} \]
Check: \(2(123 + 82) = 2 \times 205 = 410\). The other options give perimeters of 418, 422 and 430 m.
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