The difference between the length and breadth of a rectangle is...

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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

Solution(By Examveda Team)

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 × b) = (63 × 40)m² = 2520 m²

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