TMUA Euclid R2Drew2 Edition Paper 1 · Question 19

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Euclid R2Drew2 Edition Paper 1 · Q19

Paper 1Geometry

A rectangle $ABCD$ has area $3$ .

The points $P$ , $Q$ and $R$ lie on the sides $BC$ , $CD$ and $DA$ , respectively.

Among all possible rectangles $ABCD$ of area $3$ , and all possible positions of $P$ , $Q$ and $R$ , what is the least possible value of

AP+PQ+QR+RB?

2\sqrt6

3\sqrt3

4\sqrt2

6

3\sqrt5

4\sqrt3

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