The difference between the length and breadth of a rectangle is 23 m. If the perimeter of the rectangle is 206 m, find the area of the rectangle in square metres, keeping the 23 m difference and 206 m perimeter conditions unchanged.

Introduction / Context:
This problem tests solving rectangle dimensions using a system of two linear equations derived from perimeter and difference. Once length and breadth are obtained, area is computed using length * breadth. The core skill is translating words into equations correctly: perimeter gives l + b, and difference gives l - b.

Given Data / Assumptions:

• Length - breadth = 23 m
• Perimeter = 206 m
• Perimeter formula: 2 * (l + b) = 206
• Area formula: area = l * b

Concept / Approach:
From perimeter, compute l + b. Combine with l - b to solve for l and b. Then multiply to get area.

Step-by-Step Solution:

Verification / Alternative check:
Check difference: 63 - 40 = 23 m, correct. Check perimeter: 2*(63+40) = 2*103 = 206 m, correct. Therefore the derived area 63*40 is reliable and must be correct.

Why Other Options Are Wrong:

Common Pitfalls:
Common mistakes include forgetting to divide by 2 when converting perimeter to l + b, reversing length and breadth in the difference, or subtracting equations incorrectly. Another error is using area = 2(l+b) which is actually perimeter, not area.

Final Answer:
2520 sq m