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Ex 2.4, 15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (i) Area : 25a2 – 35a + 12 First we factorize 25a2 – 35a + 12 We factorize using the splitting the middle term method = 25a2 – 15a – 20a + 12 = 5a(5a – 3) – 4(5a – 3) = (5a – 3) (5a – 4) Hence, Area = (5a – 3) (5a – 4) Area = Length × Breadth Hence, there are two possibilities

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo