Respuesta :

Answer:

See below ~

Step-by-step explanation:

The length and width are x + 6 and x respectively.

Equating to the area :

  • Area = length × width
  • 112 = (x +6)(x)
  • 112 = x² + 6x
  • x² + 6x - 112 = 0
  • x² + 14x - 8x - 112 = 0
  • x(x + 14) - 8(x + 14) = 0
  • (x - 8)(x + 14) = 0
  • x = 8, because distances are always positive

Dimensions :

  • Length = x + 6 = 8 + 6 = 14 mm
  • Width = x = 8 mm

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