Question 21409
(x)(5x-8)=48
5x^2-8x=48
5x^2-8x-48=0
Use quadratic formula: {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=5, b=-8, c=-48
{{{x = (-(-8) +- sqrt( (-8)^2-4(5)(-48 )))/(2*5) }}}
{{{x = 8 +- sqrt( (64+960))/(10) }}}
{{{x = 8 +- sqrt( (1024))/(10) }}}
Simpliy X={{{-12/5}}} or x= 4
5(4)-8=12



Hence The dimensions are 4ft and 12ft