Question 1105689
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The length of a fence is 10 times it's height. The number of sq. ft. in the fence is equal to twice the cube of height. Determine length and height of fence. 
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h, height of fence
length is  10h.
{{{h*10h=2*(h^3)}}}<i>,... think about it!  This is just the literal translation of the description into an equation.</i>


{{{highlight_green(10h^2=2*h^3)}}}<i>... simplification</i>

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{{{5h^2=h^3}}}------both sides were multiplied by {{{1/2}}}.
{{{h^3-5h^2=0}}}
{{{h^2(h-5)=0}}}


You want to solve that for h.
h=0 is meaningless.
The part you want is  {{{h-5=0}}}
{{{highlight(h=5)}}}------------------Height


You already read that length is 10h, so length is {{{highlight(50)}}}.