Question 848524
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Hi,
Let x represent the length
 x(x-24) = 1456
 x^2 - 24x - 1456 = 0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (24 +- sqrt( 6400 ))/(2) }}} 
{{{x = 12 +- 40 }}}    (Tossing out the negative solution for unit measure)
 x = 52t, the length.  The width is 28ft
dimensions of the lot: 52ft by 28ft
CHECKING our answer***
52ft*28ft = 1456ft^2
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