Question 879399
w for width and L for length.


{{{wL=117}}} and {{{L=-5+2w}}};
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{{{w(-5+2w)=117}}}
{{{2w^2-5w=117}}}
{{{2w^2-5w-117=0}}}
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{{{w=(5+- sqrt(1061))/(2*2)}}}, 1061 is a prime number.
{{{highlight(w=(5+sqrt(1061))/4)}}}, we need the positive solution.


{{{L=2w-5}}}
{{{L=(5+sqrt(1061))/2+5(2/2)}}}
{{{highlight(L=(10+sqrt(1061))/2)}}}
OR
{{{highlight(L=5+sqrt(1061)/2)}}}