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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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Q: What is the area if perimeter is 96 and l equals 5w?
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