Question

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Answer 1

$\frac{a(abc)}{a(pqr)} = \frac{ {ab}^{2} }{ {pq}^{2} }$
corresponding sides square theorem
$\frac{ {ab}^{2} }{ {pq}^{2} } = \frac{16}{81}$
taking positive square root on both sides
$\frac{ab}{pq} = \frac{4}{9}$
$\frac{2}{pq} = \frac{4}{9} \\ pq = 9$
therefore, PQ = 4.5 cm
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