Question 959564
{{{system(L=4+3w, wL=530)}}}, total area of patio and pool {{{(w+2*4.5)(L+2*4.5)}}}.


{{{w(3w+4)=530}}}
{{{3w^2+4w-530}}}
{{{w=(-4+- sqrt(16+4*3*530))/6}}}
{{{w=(-4+- sqrt(6376))/6}}}


{{{1594*4=797*2*4=797*2*2*2}}}


{{{w=(-4+- 2*sqrt(797*2))/(2*3)}}}


{{{w=(-2+- sqrt(1594))/3}}}


{{{w=(sqrt(1594)-2)/3}}}
{{{highlight(w=12.64)}}}


{{{L=4+3*w}}}
{{{L=4+3(12.64)}}}
{{{highlight(L=41.92)}}}


Question is, what is the patio area?
Total combined area minus pool area is the patio area.
{{{highlight((w+2*4.5)(L+2*4.5)-wL)}}};
substitute the found values for w and L and evaluate this result.