524,174 views
45 votes
45 votes
Solving the formula for the indicated variable-s = lw + wh + lh, for whow do i start this problem?

User Samuel Powell
by
3.2k points

1 Answer

8 votes
8 votes

The first step we need to take in order to solve the formula for w is changing the side of all the terms that have a w in it to the left side.


\begin{gathered} s=lw+wh+lh \\ s-lw-wh=lh \end{gathered}

Then we change switch all the terms that don't have w from the left to the right.


-lw-wh=lh-s

Since we have two terms on the left with a "w" we can factor then using the common term:


w(-l-h)=lh-s

Now we divide both sides by (-l-h).


\begin{gathered} w=(lh-s)/(-l-h) \\ w=(-lh+s)/(l+h) \end{gathered}

User Noelbk
by
3.0k points