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

A) \( \Large 2520 m^{2} \)
B) \( \Large 2480 m^{2} \)

C) \( \Large 2420 m^{2} \)
D) None of the above

Correct answer:
A) \( \Large 2520 m^{2} \)

Description for Correct answer:
Let the length of rectangle = L m

Breadth of rectangle = B m

using 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=40m

Then, area of rectangle = \( \Large L\times B \)

= \( \Large 63\times 40 \)

= \( \Large 2520 m^{2} \)

Please provide the error details in above question

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