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X = 27 u^2.

Cool problem! :)

Hi Paulo, what wondering did your value for x answer? What else did you notice or wonder about this problem? What might students notice or wonder about it?

I was surprised by X doen’t be a multiple of 5, and I think students will wonder this fact too.

I wonder what would have to be true about the rectangle for all four segments to be multiples of 5….

If you multiply the areas of each pair of opposite “corners”, you get the same products. So 45×15 = 27×25!