Question 847994
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Hi,
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P = {{{2*L + 2*w = 24}}}   0r ****   L + w = 12   {{{L = green(w-12)}}}
 (12-w)w = 34
 w^2 - 12w + 34 = 0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (12 +- sqrt( 8 ))/(2) =(12 +- sqrt( 4*2 ))/(2)  }}}
{{{x = 6 +- sqrt( 2 )}}}
L = {{{6 + sqrt( 2 )}}}  and w = {{{6 - sqrt( 2 )}}} 
CHECKING our answer***
 l *w = 34  and L + w = 12
Wish You the Best in your Studies.