Question 865056
L length
w width
L=-1+2w
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{{{wL=45}}}, given.
{{{w(2w-1)=45}}}, substitution.
{{{2w^2-w-45=0}}}, combined steps simplification.
{{{highlight(w=(1+sqrt(91))/4)}}}.
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{{{L=(1+sqrt(91))/2-1=(1+sqrt(91))/2-2/2=(1-2+sqrt(91))/2=highlight((-1+sqrt(91))/2=L)}}}


Final forms based on general solution to a quadratic equation.