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A rectangle has a length that is 3 times its width. If the diagonal is 10√10 meters, what is the area of the rectangle?
By Pythagoras: w² + (3w)² = (10√10)² → w² + 9w² = 1000 → 10w² = 1000 → w² = 100 → w = 10.
Length = 30, so area = 10 × 30 = 300 square meters.

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