Hi, 

Let x and (x-12)represent the length and width respectively        



Question states***

 2x + 2(x-12) = 108

solving for x

 4x - 24 = 108

    4x = 132

     x = 33 units, the length



CHECKING our Answer***

  66 + 2*21 = 66 + 42 = 108 

Answer by gwendolyn(128)   (Show Source): You can put this solution on YOUR website!
 Let W be the width of the rectangle and L be the length.

We know that the width is 12 units less than the length, so:

W = L - 12

We also know the perimeter is 108 units, so:

2*W + 2*L = 108



Substitute the value for w from the first equation:

2*(L - 12) + 2L = 108

Distribute the 2 on the right and combine the L terms:

2L - 24 + 2L = 108

4L - 24 = 108

Add 24 to both sides:

4L -24 + 24 = 108 + 24

4L = 132

Divide both sides by 4:

L = 33



So, the length is 33 units. 

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