Answer
The dimension of the rectangle is 9 units (length) by 6 units (width).
Work Step by Step
Area of Rectangle = Length x Width
54 = $(x + 2)(x - 1)$
$x^2 + x - 2 - 54 = 0$
$x^2 + x - 56 = 0$
$(x + 8)(x - 7) = 0$
$x = 7$ or $x = -8$ (rejected)
Therefore, x = 7
The length and width of the rectangle is $7 + 2 = 9$ units and $7 - 1 = 6$ units respectively.
The dimension of the rectangle is 9 units (length) by 6 units (width).