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Can you find two unequal rectangles whose areas add to $5\sqrt5$?

No computer solutions please.

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    $\begingroup$ Any restrictions on side length? Otherwise this seems trivial... $\endgroup$
    – bobble
    Sep 17 at 0:33
  • $\begingroup$ Is this homework? Voting to close as strictly a math question. $\endgroup$ Sep 17 at 0:37
  • $\begingroup$ Also, use the no-computers tag to specify no computer solutions. $\endgroup$ Sep 17 at 0:39
  • $\begingroup$ Please close the question. Thank you. Vasslis $\endgroup$ Sep 17 at 1:25
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Sure, a 1×4√5 rectangle and a 1×√5 rectangle.

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