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

A. 1520 $m^{2}$

B. 2420 $m^{2}$

C. 2480 $m^{2}$

D. 2520 $m^{2}$

Correct Answer :

D. 2520 $m^{2}$

We have (l-b)=23 and 2(l+b)=206 or (l+b)=103
Solving the two equatoins, we get l=63 and b=40

∴ (l \times \times b) = (63 \times 40) m^{2} = 2520 m^{2}

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