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

• A. 2520 m2
• B. 2420 m2
• C. None of these
• D. 2480 m2

Answer: (A)

Let the length of rectangle = L m? Breadth of rectangle = B mUsing conditions from the question,L - B = 23 ....(i)2(L + B) = 206 L + B = 103 ....(ii)On adding Eqs. (i) and (ii), we get 2L = 126 ? L = 63 m? B = 103 - 63 = 40 mThen , area of rectangle = L x B = 63 x 40= 2520 m2 .