Question 452755
(32+x)(25+x)=2(32*25)
32*25+25x+32x+x^2=2*8300
x^2+57x+800=16600
x^2+57x+800-16600=0
x^2+57x-15800=0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
x=(-57+-sqrt[57^2-4*1*-15800])/2*1
x=(-57+-sqrt[3249+63200])/2
x=(-57+-sqrt[66449])/2
x=(-57+-257.78/2
x=(-57+257.78)/2
x=200.78/2
100.39 ans. for the added length.
100.39+25=125.39 ans. for the expanded width.
32+100.39=132.39 ans for the new length.
Proof:
132.39*125.39=16600
16600=16600