Question 21456
(x)(2x-20)=6000
{{{2x^2-20x=6000}}}
{{{2x^2-20x-6000=0}}}
Use quadratic formula:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=2, b=-20, c=-6000
{{{x = (-(-20) +- sqrt( (-20)^2-4(2)(-6000) ))/(2(2)) }}}
{{{x = (20) +- sqrt( 400+48000 ))/(4)}}} (divide by four)
{{{x = (20) +- sqrt( 48400 ))/4 }}} (divide by four)
Add (don't subtract): {{{x=240/4}}}
x=60
2(60)-20=100
hence the width is 60ft and the length is 100ft.