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&lt;p&gt;The diagram shows two rectangles which enclose five regions.&lt;/p&gt;
&lt;p style=&quot;text-align: center;&quot;&gt;&lt;mdo:image alt=&quot;two rectangles at an angle, one contains the numbers 4,2,5 the other 1,2,3&quot; src=&quot;diag1.gif&quot;&gt;&lt;/mdo:image&gt;&lt;/p&gt;
&lt;p&gt;What is the largest number of regions which can be enclosed by any two rectangles drawn on a sheet of paper?&lt;/p&gt;
&lt;p&gt; &lt;/p&gt;
&lt;p&gt;If you liked this problem, &lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=2925&amp;amp;part=index&amp;amp;refpage=monthindex.php&quot;&gt;here is an NRICH task&lt;/a&gt; which challenges you to use similar mathematical ideas.&lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
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  <title>Weekly Problem 52 - 2011</title>
  <description>
Weekly Problem 52 - 2011

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