Correct Answer - Option 3 : 2520 m
2
Given:
The difference between the length and breadth of a rectangle is 23 m if its perimeter is 206 m.
Concept used:
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2(Length + Breadth)
Calculation:
Length - Breadth = 23 m
Perimeter of rectangle = 2(Length + Breadth)
2(Length + Breadth) = 206
⇒ Length + Breadth = 206/2
⇒ Length + Breadth = 103 m ----(i)
And, Length - Breadth = 23 m ----(ii)
Adding (i) and (ii) we get,
Length = (103 + 23)/2
⇒ Length = 126/2
⇒ Length = 63 m
Subtracting (i) and (ii) we get,
Breadth = (103 - 23)/2
⇒ Breadth = 80/2
⇒ Breadth = 40 m
Area of rectangle = 63 m × 40 m
∴ Area of rectangle = 2520 m2