Triangle $XYZ$ is similar to triangle $PQR$. The ratio of the perimeter of triangle $XYZ$ to the perimeter of triangle $PQR$ is $5:2$. If the area of triangle $PQR$ is $12{\text{ cm}}^2$, what is the area, in ${\text{cm}}^2$, of triangle $XYZ$? (Disregard units when gridding your answer.)