Since WX is given as 27, we know sides of the square are 27 each.
ZX is the diagonal of the square. R is the midpoint of the square and also the diagonal. Thus, RX will be half of the diagonal (ZX).
The formula that relates a square's side length (s) to the diagonal length (d) is:
[tex]d=s\sqrt[]{2}[/tex]
So, let's figure out the length of ZX first:
[tex]\begin{gathered} d=s\sqrt[]{2} \\ ZX=WX\sqrt[]{2} \\ ZX=27\sqrt[]{2} \end{gathered}[/tex]
RX is half of ZX, thus,
[tex]\begin{gathered} RX=\frac{1}{2}ZX \\ RX=\frac{1}{2}(27\sqrt[]{2}) \\ RX=\frac{27}{2}\sqrt[]{2} \\ RX\approx19.09 \end{gathered}[/tex]
Rounding to 1 decimal place, the answer is
RX = 19.1
