Question 842426
V=Lwh the meanings being expected.
If you want h, you can find that h=V/(Lw).  Since you have only polynomial expressions for the three "given" variables, your variable to solve, h, must still be, ..., variable result.


Try polynomial or synthetic division with one expression as divisor at a time among a+2 and a-4.  Before trying, MAYBE both are roots of the cubic volume polynomail?  Not know until you try.



Abbreviated Results:

Volume divided by a+2:________{{{a^2-9a+20}}} which is w*h

That area divided by a-4:_______{{{a-5}}} which is h


The height is {{{highlight(a-5)}}}