Respuesta :

fieryanswererft

answer:

x = 13.9

explanation:

                       area of rectangle: length * width

Here the length is [ x + 12 ] and width [ x ]

solve:

  • 360 = ( x + 12 ) ( x )
  • 360 = x² + 12x
  • x² + 12x - 360 = 0
  • x² + 12x - 360 = 0

using quadratic formula:

  • [tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
  • [tex]x = \dfrac{ -12 \pm \sqrt{(12)^2 - 4(1)(-360)}}{2(1)}[/tex]
  • [tex]x = -6+6\sqrt{11}[/tex] , [tex]x = -6-6\sqrt{11}[/tex]
  • [tex]x = 13.9[/tex] , [tex]x = -25.9[/tex]

As length can never be negative:

x = 13.9

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