If 13 = 13w ( 1 - w ) , then (2w)2 = ?

Answer: Option C

$$\begin{array}{rl}& \Rightarrow \frac{13}{1}=\frac{13w}{\left(1-w\right)}\\ & \Rightarrow \frac{w}{\left(1-w\right)}=1\\ & \Rightarrow w=1-w\\ & \Rightarrow 2w=1\\ & \Rightarrow w=\frac{1}{2}\\ & \therefore {\left(2w\right)}^2\\ & =4w^2\\ & =4\times \frac{1}{4}\\ & =1\end{array}$$