Question 1061514
{{{ L = 2W - 1 }}}
{{{ A = L*W }}}
{{{ 45 = L*W }}}
{{{ 45 = ( 2W - 1 )*W }}}
{{{ 45 = 2W^2 - W }}}
{{{ 2W^2 - W - 45 = 0 }}}
I can use the quadratic formula:
{{{ W = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{ a = 2 }}}
{{{ b = -1 }}}
{{{ c = -45 }}}
{{{ W = (-(-1) +- sqrt( (-1)^2-4*2*(-45) ))/(2*2) }}} 
{{{ W = ( 1 +- sqrt( 1 + 360 ))/4 }}} 
{{{ W = ( 1 + 19 ) / 4 }}}
{{{ W = 20/4 }}}
{{{ W = 5 }}} ( can't use the negative square root )
and
{{{ L = 2W - 1 }}}
{{{ L = 2*5 - 1 }}}
{{{ L = 9 }}}
The length is 9
The width is 5