2405 /www/nrich/html/content/id/2405/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><p>I have four rectangular pieces of thin hardboard whose dimensions (in cm) are 55 x 85, 65 x 75, 65 x 85, 90 x 105. Without bending the hardboard, how many of these can I get through an open rectangular window measuring 60 cm x 80 cm?</p> <p> </p> <p>If you liked this problem, <a href="http://nrich.maths.org/4889">here is an NRICH task</a> which challenges you to use similar mathematical ideas.  </p> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"> <p> By Pythagoras Theorem, the diagonal of the window is 100 cm, which exceeds the length or breadth of all the sheets. So the first three pieces can go through the window either way and the 90 x 105 cm piece can also go through the window, provided the 90 cm edge goes first. </p> </mdoxml> 2 3 0 0 1 0 0 Weekly Problem 3 - 2011 Using, Applying and Reasoning about Mathematics Visualising 2D Geometry, Shape and Space Pythagoras' theorem Admin Short problems Secondary Mapping Document Area and volume LS