Question

S=2(lw+hw+hl) solve for h

Answer 1

\[S = 2(lw+hw+hl)\]Divide both sides by 2:
\[\frac{ S }{ 2 } = lw+hw+hl\]Now subtract the quantity lw:
\[\frac{ S }{ 2 } - lw = hw + hl\]Now use distributive property to isolate h:
\[\frac{ S }{ 2 } - lw = h(w+l)\]Now divide by quantity (w+l) for answer:
\[\frac{ S }{ 2(w+l) } - \frac{ lw }{ (w+l) } = h\]If you want let's simplify to one fraction:
\[\frac{ S-2lw }{ 2(w+l) } = h\]

Hope this helps! :D