Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

• A.  \[6cm\]                       
• B.  \[6\frac{2}{3}cm\]
• C.  \[27\pi c{{m}^{3}}\]                                  
• D.  \[30\pi c{{m}^{3}}\]