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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 get the answer 27. But One doubt sir, it is a square. So how get that answer?

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!

I wonder if students would assume that the 15 and 25 rectangles would have to be 3×5 and 5×5, respectively… then wonder why the 25 one does not appear to be a square!