If ABC~ PQR and AB : PQ=3.4 then A( ABC) :( PQR). A) 9:25 B) 9:16 C) 16:9 D) 25:9.​

1 thought on “If ABC~ PQR and AB : PQ=3.4 then A( ABC) :( PQR). A) 9:25 B) 9:16 C) 16:9 D) 25:9.​”

1. Answer:

   The answer will be 9:16 (option B).

   Step-by-step explanation:

   Given;

   ABC ~ PQR;

   AB : PQ=3:4;

   The ratio of the area of similar triangle is given by;

   ar(△ ABC) / ar(△ PQR) = (AB/PQ)² = (BC/QR)² =(AC/PR)²

   Thus, ar(△ ABC) / ar(△ PQR) = (3/4)²;

   = 9/16;

   Hence, ar(△ ABC) : ar(△ PQR) = 9:16;

   That’s all.

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