Question

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

Answer 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.