Question:
Give possible expression for the length and breadth of the rectangle whose area is given by 4a2 +4a – 3.
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