Answer
$H=\frac{S-2LW}{2L+2W}$
Work Step by Step
We are given that $S=2LW+2LH+2WH$. We can solve for H by first subtracting 2LW from both sides.
$S-2LW=2LH+2WH$
We can use the distributive property to factor out H from both terms on the right side.
$S-2LW=H(2L+2W)$
Divide both sides by 2L+2W.
$H=\frac{S-2LW}{2L+2W}$
