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SMO 2015 Junior Round 1 Question 35

SMO · SMO 2015 Junior Round 1

Question 35

In the diagram below, the area of the rectangle $ABCD$ is 80. The point $E$ lies on the side $AB$. $DEFG$ is a trapezium with parallel sides $EF$ and $DG$. $C$ is the midpoint of the side $FG$. Find the area of the trapezium $DEFG$ if the area of $\triangle AED$ is 23 and the area of the shaded triangle is 5.

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