Straight lines drawn inside a rectangle can create multiple rectangles of different sizes. The lines can intersect each other. The minimum number of straight lines needed so as to result in a total of 9 rectangles is

This question was previously asked in
CSIR-UGC (NET) Life Science: Held on (6 June 2023 Shift 2)
View all CSIR NET Papers >
  1. 5
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 2 : 2
Free
Seating Arrangement
3.8 K Users
10 Questions 20 Marks 15 Mins

Detailed Solution

Download Solution PDF

Given :- Straight lines drawn inside a rectangle can create multiple rectangles of different sizes. The lines can intersect each other. We have to make 9 sub rectangles from the given original rectangle.

Concept used :- Draw equal vertical and horizontal lines to make 9 sub rectangles, since 9 is a perfect square.

Solution :- Since 9 is a perfect square so number of horizontal lines must be equal to number of vertical lines.

If we take 1 horizontal and 1 vertical lines then it divides our rectangle into 9  rectangles.

So total number of lines to be drawn is 2   

F3 Teaching Arbaz 31-10-23 D1

Rectangles are  ABDE, BCEF, DEGH, EFIH, ABGH, BCIH, ACDF, DFGI, ACGI 

there are total 9 rectangles.

Latest CSIR NET Updates

Last updated on Jul 8, 2025

-> The CSIR NET June 2025 Exam Schedule has been released on its official website.The exam will be held on 28th July 2025.

-> The CSIR UGC NET is conducted in five subjects -Chemical Sciences, Earth Sciences, Life Sciences, Mathematical Sciences, and Physical Sciences. 

-> Postgraduates in the relevant streams can apply for this exam.

-> Candidates must download and practice questions from the CSIR NET Previous year papers. Attempting the CSIR NET mock tests are also very helpful in preparation.

Get Free Access Now
Hot Links: teen patti teen patti real cash 2024 teen patti master gold teen patti cash game teen patti game - 3patti poker