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2019 SAIMC keystage3-IWYMIC individual Question 6

xIMC · 2019 SAIMC keystage3-IWYMIC individual

Question 6

In the figure below, points $R$ and $T$ lie on the side $CD$ of the parallelogram $ABCD$ such that $DR=RT=TC$. Lines $AR$ and $AT$ intersect the extension of $BC$ at points $M$ and $L$ respectively, and the lines $BT$ and $BR$ intersect the extension of $AD$ at points $S$ and $P$ respectively. If the area of the parallelogram $ABCD$ is $48$ cm², then what is the area, in cm², of the shaded region?

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