If a = 0.1039 , then the value of 4a^2 - 4a + 1 + 3a is ?

Answer: Option C

$$\begin{array}{rl}& =\sqrt{4a^2-4a+1}+3a\\ & =\sqrt{{\left(1\right)}^2+{\left(2a\right)}^2-2\times 1\times 2a}+3a\\ & =\sqrt{{\left(1-2a\right)}^2}+3a\\ & =\left(1-2a\right)+3a\\ & =\left(1+a\right)\\ & =\left(1+0.1039\right)\\ & =1.1039\end{array}$$