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It's been a while, but I'll take a stab at this one. Assuming this is a rectangular shape:

width = w

length = w + 12

perimeter = length + length + width + width

As stated above, p = 7w, so:

7w (perimeter) = (w + 12) + (w + 12) + w + w

7w = 4w + 24 (simplifying the above)

-4w -4w (getting all the w's on one side)

------------------

3w = 24

w = 8

Checking our work. Substituting 8 for w:

p = 7(8)

p = 56

P = (8+12) + (8 + 12) + 8 + 8

p = 20 + 20 + 8 + 8

p = 56

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