Question 426018
Let {{{W}}} = width
Let {{{L}}} = length
given:
(1) {{{ W*L = 36 }}} ft2
(2) {{{ L = 2W - 1 }}} ft
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From (1):
(1) {{{ L = 36/W }} 
Substitute this into (2)
(2) {{{ 36/W = 2W - 1 }}}
Multiply both sides by {{{W}}}
{{{ 36 = 2w^2 - W }}}
{{{ 2W^2 - W - 36 = 0 }}}
Use quadratic equation:
{{{W = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{a = 2}}}
{{{b = -1}}}
{{{c = -36}}}
{{{W = (-(-1) +- sqrt( (-1)^2-4*2*(-36) ))/(2*2) }}} 
{{{W = ( 1 +- sqrt( 1+ 288 ))/ 4 }}} 
{{{ W = (1 + 17)/4 }}}
{{{ W = 9/2 }}}
{{{W = 4.5 }}}
and
{{{ L = 2W - 1 }}}
{{{ L = 9 - 1 }}}
{{{ L = 8 }}} 
The dimensions are 4.5 ft x 8 ft