MCQ
The Possible expressions for the length and breadth of the rectangle whose area is given by $4 a^2+4 a-3$ is:
- ✓$(2a - 1)$ and $(2a + 3)$
- B$(2a - 1)$ and $(2a - 3)$
- C(2a + 1) and (2a + 3)
- DNone of these.
✓
Answer
Correct option: A.
$(2a - 1)$ and $(2a + 3)$
$4 a^2+4 a-3$
To find the length and breadth, we will factorize the given polynomial.
$=4 a^2-6 a-2 a-3$
$=2 a(a+3)-1(2 a+3)$
$=(2 a+3)(2 a-1)$
Therefore, the Possible expressions for the length and breadth of the rectangle whose area is given by $4 a^2+4 a-3$ is ( $2 a+3$ ) and $(2 a-1)$.
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