SOLUTION: solve SA=2lw+2lh+2wh, for h

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Question 107973This question is from textbook Algebra, structure and meathod, book 1
: solve SA=2lw+2lh+2wh, for h This question is from textbook Algebra, structure and meathod, book 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
SA=2lw%2B2lh%2B2wh Start with the given equation



0=2lw%2B2lh%2B2wh-SASubtract SA from both sides


-2lh=2lw%2B2wh-SA Subtract 2lh from both sides


-2lh-2wh=2lw-SA Subtract 2wh from both sides


-2h%28l%2Bw%29=2lw-SA Factor out the GCF -2h from the left side


h=%282lw-SA%29%2F-2%28l%2Bw%29 Divide both sides by -2(l+w) to isolate h


h=%28SA-2lw%29%2F2%28l%2Bw%29 Simplify