Input := Solve[area[h]==4,h]
Output =
2/3
{{h -> 3 }}
Input := Solve[area[h]==n,h]
Output =
9 1/3 2/3 1/3 9 1/3 2/3
(-) n -((-1) (-) n )
2 2
{{h -> -----------}, {h -> ----------------------},
2 2
2/3 9 1/3 2/3
(-1) (-) n
2
{h -> -------------------}}
2