The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is 5 : 3. The area is :

Answer: Option C

Let the length and breadth of the field be (5x) metres and (3x) metres respectively
Then,
2(5x + 3x) = 480
⇒ 8x = 240
⇒ x = 30
So, length = 150 m, breadth = 90 m
∴ Area of the field :
= (150 × 90) sq. m
= 13500 sq. m