Need help asap

Anyone?? :(

I misunderstood the question.  

Let the width shown = w     and  the length shown be  h   (for height)

\(\frac{2w}{h}=\frac{h}{w}\\ 2w^2=h^2\\ \sqrt{2}w=h\\ \text{so the ratio of width to length as shown is}\qquad 1:\sqrt2\)