The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
Choose the correct choice: A) 37500 B) 38000 C) 38500 D) 39000 E) 39500

Rationale: "given that breadth of the rectangular field is 60 % of its length . ⇒ b = 60 l 100 = 3 l 5 perimeter of the field = 800 m ⇒ 2 ( l + b ) = 800 ⇒ 2 ( l + 3 l 5 ) = 800 ⇒ l + 3 l 5 = 400 ⇒ 8 l 5 = 400 ⇒ l 5 = 50 ⇒ l = 5 × 50 = 250 m b = 3 l 5 = 3 × 2505 = 3 × 50 = 150 m area = lb = 250 × 150 = 37500 m 2 answer is a ."
Answer: A