They are called multiplicative inverses or reciprocals of each other.
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1 and 24 2 and 12 3 and 8 4 and 6
Reciprocals, or multiplicative inverses
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I would list all the factors of 480 (as pairs of numbers whose product is 480). Then find two pairs of numbers (L1,W1 and L2,W2) satisfying these properties. (It won't take long, since there are at most sqrt(480) (rounded down) pairs of numbers whose product is 480, ie. just try the numbers 1,2,3,...,21.) Hope that helps!
-76 and 76 whose product is -5776.