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  <resource>
  <id>6228</id>
  <path>/www/nrich/html/content/id/6228/</path>
  <resourceTypeID>1</resourceTypeID>
  <last_published>2011-02-01T00:00:01</last_published>
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&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
&lt;p&gt;The $16$ by $9$ rectangle is cut as shown.&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
&lt;mdo:image alt=&quot;16 by 9 rectangle cut into pieces&quot; height=&quot;151&quot; src=&quot;diagram.jpg&quot; width=&quot;250&quot;&gt;&lt;/mdo:image&gt;&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
Rearrange the pieces to form a square. What is the perimeter of the square?&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/6987&quot;&gt;here is an NRICH task&lt;/a&gt; which challenges you to use similar mathematical ideas.&lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
  <solutionXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p style=&quot;text-align: center;&quot;&gt;&lt;mdo:image alt=&quot;12 by 12 square&quot; height=&quot;186&quot; src=&quot;solution.jpg&quot; width=&quot;197&quot;&gt;&lt;/mdo:image&gt;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;&lt;/br&gt;
The square&amp;#39;s perimeter is $12\times 4 = 48$&lt;/p&gt;&lt;/mdoxml&gt;</solutionXML>
  <noteXML/>
  <clueXML/>
  <canonXML/>
  <end_user_role>2</end_user_role>
  <difficulty>4</difficulty>
  <keystage1>0</keystage1>
  <keystage2>0</keystage2>
  <keystage3>1</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>0</keystage4plus>
  <title>Weekly Problem 2 - 2009</title>
  <description>The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?</description>
  <spec_group>2D Geometry, Shape and Space
    <specifier>Rectangles</specifier>
  </spec_group>
  <spec_group>Transformations and their Properties
    <specifier>Translations</specifier>
  </spec_group>
  <spec_group>2D Geometry, Shape and Space
    <specifier>Pythagoras' theorem</specifier>
  </spec_group>
  <spec_group>Secondary Mapping Document
    <specifier>Angles and polygons</specifier>
  </spec_group>
</resource>