Question 1133678
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Solving the problem formally using algebra gets quite messy, as you can see in the solution from the other tutor.  And it involves finding the roots of a 4th degree polynomial, which involves some trial and error with synthetic division.<br>
The way the problem is presented, with answer choices, it makes FAR more sense simply to see which answers work.  y = 3, 5, and 7 all give right triangles that are Pythagorean triples; but only y = 3 gives a perimeter of 62 for the rectangle.