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UKMT Pink Kangaroo, 2022

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

The diagram shows a square $PQRS$ of side-length $1$ . $W$ is the centre of the square and $U$ is the midpoint of $RS$ . Line segments $TW$ , $UW$ and $VW$ split the square into three regions of equal area. What is the length of $SV$ ?

(A) $\dfrac{1}{2}$ (B) $\dfrac{2}{3}$ (C) $\dfrac{3}{4}$ (D) $\dfrac{4}{5}$ (E) $\dfrac{5}{6}$

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