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IMAS 2011 Junior Division — Second Round Question 11

IMAS · IMAS 2011 Junior Division — Second Round

Question 11

The diagram shows how a regular pentagon $ABCDE$ may be constructed by tying a knot in a rectangular piece of paper. If the dimensions of the original rectangle is 17.2 cm by 2.5 cm, and $CN+DP=CD$, what is the area, in $\mathrm{cm}^2$, of the quadrilateral $ACDE$?

Figure (1): Question illustration

Figure (2): Question illustration