<p>Page 485 in the blue book, question 12. </p>
<p>I got 2 thinking that you could just do two rectangles more QXSZ and RYWP.</p>
<p>What else is there and please if you can, give a lucid explanation. thanks in advance :)</p>
<p>Well, first off I do hope you know that each question in the blue book has a detailed explanation on the College Board’s website. Just google SAT owners area and it should be the first link.</p>
<p>Anyways, for this specific problem, the answer is (D), More than four. That is because there can be infinitely many rectangles inscribed in this circle. Note that it does not ask how many rectangles with the points given, which is what I believe you assumed.</p>
<p>The answer is infinite amount of rectangles. It just asks for perimeter of 12. If you think about it, there is an infinite number of diameters. Therefore, infinite amount of rectangles.</p>