MathematicsGive possible expressions for the length and breath of the rectangle whose area is- 4a2+4a-3.

Give possible expressions for the length and breath of the rectangle whose area is- 4a2+4a-3.


  1. A
    (2a-3)(2a+3)
  2. B
    (2a-1)(2a-3)
  3. C
    (2a+3)(2a-1)
  4. D
    None of these 

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    Solution:

    Concept- A rectangle is a type of parallelogram whose all angles are right angles, especially the one with adjacent sides of unequal length, and  has area equal to the product of its length and breadth.
    Option 1) (2a-3)(2a+2)
    =2a(2a+2)-3(2a+2)
    =4a2+4a-6a-6
    =4a2-2a-6
    As, 4a2-2a-64a2+4a-3
    Hence, not a correct answer.
    Option 2) (2a-1)(2a-3)
    =2a(2a-3)-1(2a-3)
    =4a2-6a-2a+3
    =4a2-8a+3
    As, 4a2-8a+34a2+4a-3
    Hence, not a correct answer.
    Option 3) (2a+3)(2a-1)
    =2a(2a-1)+3(2a-1)
    =4a2-2a+6a-3
    =4a2+4a-3
    As, 4a2+4a-3=4a2+4a-3
    Hence, the correct answer is option 3.
     
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