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Assuming this question is asking about a rectangle:
Perimeter = 2l + 2w and according to this problem Perimeter = 96, so
96 = 2l + 2w
If l = 5w, then we can replace each l in the statement above with 5w, so
96 = 2(5w) + 2w
96 = 10w + 2w
96 = 12w
8 = w
If 8 = w, and l = 5w, then l = 5 times 8 = 40
The area of a rectangle is length (l) times width (w), so
A = lw
A = (40) (8)
A = 320 square units
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