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Verified Answer :

The perimeter of two similar triangles will be in the same ratio as any of their corresponding sides.
\(ED:EA=14:9 \Rightarrow P_{\triangle{CED}}:P_{\triangle{BEA}}=14:9 \Rightarrow P_{\triangle{CED}}=\frac{14}{9}P_{\triangle{BEA}}\)


\(P_{\triangle{CED}}=\frac{14}{9}P_{\triangle{BEA}}=\frac{14}{9}\times27=42\)

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