Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.

This question was previously asked in
RRB PO Prelims Memory Based Paper (Held On: 4 August 2024 Shift 3)
View all RRB Officer Scale - I Papers >
  1. 56
  2. 48
  3. 40
  4. 44
  5. 52

Answer (Detailed Solution Below)

Option 3 : 40
Free
Banking Special English For All Exam Test
10 K Users
20 Questions 20 Marks 12 Mins

Detailed Solution

Download Solution PDF

Calculation:

Let the sides of the rectangular field be 5x and 4x. The area of the rectangle is:

Area = 5x × 4x = 500

⇒ 20x² = 500

⇒ x² = 25

⇒ x = 5.

Thus, the length = 5x = 25 m, and the breadth = 4x = 20 m.

The perimeter of the rectangular field = 2 × (25 + 20) = 90 m.

The sides of the triangular field are in the ratio 3 : 2 : 4. Let the sides be 3y, 2y, and 4y.

The perimeter of the triangle is: 3y + 2y + 4y = 9y.

Since the perimeter is 90 m, we have: 9y = 90 ⇒ y = 10.

The longest side of the triangle is: 4y = 4 × 10 = 40 m.

∴ The longer side of the triangular field is 40 meters.

Latest RRB Officer Scale - I Updates

Last updated on Jan 15, 2025

-> The IBPS RRB PO 2025 Exam Dates have been released on 15th January 2025.

-> As per the official notice, the Online Preliminary Examination is scheduled for 27th July 2025, 2nd and 3rd August 2025

-> The Mains Examination is scheduled for 13th September 2025.

-> IBPS RRB PO Notification 2024 was released for 3551 Vacancies. Vacancies for the 2025 cycle will be announced in the official notification.

-> IBPS RRB Officer Scale 1 Notification 2025 is expected to be released soon.

-> Prepare for the exam with IBPS RRB PO Previous Year Papers.

-> Also, attempt IBPS RRB PO Mock Test. Check the IBPS RRB PO Exam Analysis here. Also, attempt Free Baking Current Affairs Here

More Plane Figures Questions

Get Free Access Now
Hot Links: teen patti live teen patti wink teen patti gold download lucky teen patti teen patti real cash