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

The correct option is D

2520 m²

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

Solving the two equations, we get $\Rightarrow$ l = 63 and b = 40

$\therefore$ Area = (l $\times$b) = (63 $\times$ 40) m${}^2$ = 2520 m${}^2$