Δ PQR is similar to Δ DEF.  If the ratio of their perimeters is 3 : 2,  then the ratio of their areas is?

3 : 2 81 : 8 9 : 4 \(\sqrt[3]{3}\) : 2

9 : 4

Δ PQR ∼ Δ DEF ⇒ \(\frac{Perimeter\;of\;Δ PQR}{Perimeter\;of\;Δ DEF}\) = \(\frac{PQ}{DE}\) = \(\frac{3}{2}\) ⇒ \(\frac{area\;of\;Δ PQR}{area\;of\;Δ DEF}\) = \(\frac{PQ^2}{DE^2}\) = \(\frac{3^2}{2^2}\) = \(\frac{9}{4}\)