Question

Solve: S=2(lw+lw+wh) for w

Answer 1

`w=(s-2lh)/(2(h+l))`

Explanation:

Given the equation,
`S=2(lw+lh+wh)`, solve for w.

`S=2(lw+lh+wh)`, distribute the 2.

=>
`S=2lw+2lh+2wh`, subtract
`2lh` from both sides.

=>
`S-2lh=2lw+2wh`, factor out a
`w` from the right-hand-side.

=>
`S-2lh=w(2l+2h)`, now divide
`(2l+2h)` from each side.

=>
`(S-2lh)/(2l+2h)=w`

Final answer:
`w=(s-2lh)/(2(h+l))`