Question

△​MNO​ and △​PQR​ are similar. The ratio of a side of △​PQR​ to a corresponding side of △​MNO​ is 4 : 3. If ​MN ​= 12 in., ​NO​ = 18 in., ​MO​ = 24 in., find the perimeter of △​PQR​.

Answer 1

Solve for x
4 12
--- = --- 4x=36 36/4=9 x=9 = PQ=9in
3 x
4 18
--- = --- 4x=54 54/4=13.5 x=13.5 QR=13.5in
3 x
4 24
--- = --- 4x=72 72/4=18 x=18 PR=18in
3 x

18+13.5+9 = 40.5
Therefore, the perimeter of ΔPQR = 40.5inches