restart;
#Working problem #2 on Sample Exam 1A as a demonstration of how to use Maple.
eq1:=h/w=b/(w+27);
eq2:=h=sqrt(w^2+8^2);


B:=solve(eq1,b);

v:=subs(eq2,B);

dbdw:=diff(v,w);

dbdws:=simplify(dbdw);

s:=solve(dbdws=0,w);

ans:=subs(w=s[1],v);

simplify(ans);