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Question
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
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Solution
Given, area of rectangle = 4a2 + 6a – 2a – 3
= 4a2 + 4a – 3 ...[By splitting middle term]
= 2a(2a + 3) – 1(2a + 3)
= (2a – 1)(2a + 3)
Hence, possible length = 2a – 1 and breadth = 2a + 3
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