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# Kite in a Square

*We are very grateful to the Heilbronn Institute for Mathematical Research for their generous support for the development of this resource.*

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 14 to 18

Challenge Level

*Kite in a Square printable sheet*

ABCD is a square. M is the midpoint of the side AB.

By constructing the lines AC, MC, BD and MD, the blue shaded quadrilateral is formed:

**What fraction of the total area is shaded?**

Once you have had a think about this, you might like to take a look at these three different methods for finding the shaded area. In each case, all the statements have been muddled up. Can you rearrange them back into their original order?

*Thanks to Jerome Foley for drawing our attention to this problem.*