



 
Hi Paul, You want to manipulate this equation to end with \[h = \mbox{ some expression that doesn't involve h. }\] The allowable manipulations are to add the same amount to each side of the equation or multiply each side of the equation by the same amount. My first step would be to add $4wl$ to each side of $S=4wl+2wh$ to get \[S  4wl =4wl+2wh  4wl = 2wh.\] At this point I would multiply each side of the equation by $\large \frac{1}{2w}$ to get \[\frac{1}{2w} (S  4wl) = \frac{1}{2w} 2wh = h.\] It is conventional to write this expression with the $h$ term on the left side so I get \[h = \frac{S  4 wl}{2w}.\] Penny  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 