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

Question:
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.