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The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

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1. 

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

[A]. 1520 m2
[B]. 2420 m2
[C]. 2480 m2
[D]. 2520 m2

Answer: Option D

Explanation:

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

 Area = (l x b) = (63 x 40) m2 = 2520 m2.

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