Another approach is to extend subnet by decreasing mask to include router to
client subnet.
I.e.: 10.112.38.73/16.

dhcp-options(5), RFC-2132: "The router option specifies a list of IP
addresses for routers on the client's subnet." 

>From my point of view dhcp server in your example violates RFC, it is
misconfigured
and should not work at all. 



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