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A square tile in a Pune workshop has area $(4 x^{2} + 12 x + 9)$ sq cm, written as a perfect square.
What is the length of one side of the tile?

Class 8Standard IdentitiesAlgebra

A $(2 x + 3) c m$
B $(2 x - 3) c m$
C $(4 x + 3) c m$
D $(2 x + 9) c m$

Step-by-Step Solution

4 x^{2} + 12 x + 9 = (2 x)^{2} + 2 (2 x) (3) + 3^{2} = (2 x + 3)^{2}

, so the side is

(2 x + 3)

cm.

Answer: A)

(2 x + 3) c m

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