Examples
Example 1 (ii)
Example 2 Important
Example 3
Example 4
Example 5 Important
Example 6 You are here
Example 7 Deleted for CBSE Board 2023 Exams
Example 8 Important Deleted for CBSE Board 2023 Exams
Example 9 Important Deleted for CBSE Board 2023 Exams
Example 10
Example 11
Example 12 Important
Example 13 (i)
Example 13 (ii) Important
Example 13 (iii)
Example 14 (i)
Example 14 (ii)
Example 15 Important
Example 16
Example 17 Important
Example 18
Examples
Last updated at May 29, 2018 by Teachoo
Example 6 Find the dimensions of the prayer hall discussed in Section 4.1. Suppose a charity trust decides to build a prayer hall having a carpet area of 300 square metres with its length one metre more than twice its breadth. What should be the length and breadth of the hall? We know that Area of hall = Length breadth Given area of hall = 300 m2 Also, length is one metre more than twice its breadth Let Breadth of the hall = x metres. Length of hall = (2x + 1) metres. Now, Area of hall = Length breadth 300 = (2x + 1) 300 = 2x2 + x 0 = 2x2 + x 300 2x2 + x 300 = 0 We factorize by splitting the middle term method 2x2 + 25 x 24x 300 = 0 x (2x + 25) 12 (2x + 25) = 0 (2x + 25) (x 12) = 0 Hence x = ( 25)/2 and x = 12 But x cannot be negative as number of breadth cannot be negative So, x = 12 Breadth of the hall = x = 12 m & Length of the hall = 2x + 1 = 2 (12) + 1 = 25 m