Question 609936
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Hi, 
Note: Category Change
 A rectangular garden is 9 ft longer than it is wide
Let w and (w+9) represent the width and length respectively
Question states***area is 486 ft2.
   w(w+9) = 486
   w^2 + 9w - 486 = 0 
{{{w = (-9 +- sqrt( 2025 ))/(2) }}}
{{{w = (-9 +- 45)/(2) }}}
  w = 18 (throwing out neg(-27) solution for length
 w = 18 ft and length = 27 ft
CHECKING our Answer***
   18*27 = 486