Rectangle Decomposed Into Squares

A rectangle is decomposed into nine squares whose bases measure 1, 4, 7, 8, 9, 10, 14, 15, and 18 units respectively. What are the dimensions of the rectangle?


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The total area is:

182 + 152 + 142 + 102 + 92 + 82 + 72 + 42 + 12 = 1056.

This can be factored into 33 x 32, and the squares fit as shown.


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