TMUA Official 2016 Paper 2 · Question 16

Official papers

Official 2016 Paper 2 · Q16

Paper 2Algebra

In the figure, $PQRS$ is a trapezium with $PQ$ parallel to $SR$ .

The diagonals of the trapezium meet at $X$ .

$U$ lies on $SP$ and $T$ lies on $RQ$ such that $UT$ is a line segment through $X$ parallel to $PQ$ .

The length of $PQ$ is 12 cm and the length of $SR$ is 3 cm.

What, in centimetres, is the length of $UT$ ?

4.2

4.5

4.8

5.25

6

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