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UKMT Intermediate Mathematical Challenge, 2026

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The points $K, L, M$ and $N$ are the midpoints of the edges of the quadrilateral $PQRS$ , as shown. $T$ is a point inside the quadrilateral. The quadrilaterals $KQLT$ , $LRMT$ and $MSNT$ have areas 20, 24 and 15 respectively. What is the area of the quadrilateral $NPKT$ ?

(A) $10$ (B) $11$ (C) $12$ (D) $13$ (E) $14$

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