Question 841274
x along the barn, y the dimension perpendicular to it.


y is also "the adjascent side" to the barn side.


the side parallel to the barn is to be twice the length of an adjacent side,{{{x=2y}}};


Also described area, {{{x*y=(2y)y=648}}}


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Solving using algebra steps:
{{{2y^2=648}}}
{{{y^2=324}}}
{{{y=sqrt(4*81)}}}
{{{highlight(y=18)}}}
-Find x using this value,
x=2y=2*18
{{{highlight(x=36)}}}
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Total fence length, the barn side takes care of one piece of fencing as itself, so the amount of fence material to buy would be {{{highlight_green(x+2y)}}}.
-------{{{highlight(72)}}}.