Question

please give me the answer of this question​

Answer 1

Here , PR/MS = 4.5/3 = 3/2
QR/NS = 3/2
QP/NM = 6/4 = 3/2
So, by SSS similarity criteria,
PQR is similar to MNS
Now, we know that ratio of area of two triangles is proportional to ratio of square of two corresponding sides
=> ar(PQR) / ar(MNS) = (PR)^2 / (MS)^2 = (4.5)^2/ (3)^2 = 9/4