If triangle ABC similar to triangle PQR , perimeter of triangle ABC = 32 cm, perimeter of triangle PQR = 48 cm and PR = 6cm then find the length of AC

Given: triangle ABC ∼ triangle PQR,  perimeter of triangle ABC = 32cm, perimeter of triangle PQR = 48cm and PR = 6cm 
since the y are similar, 
AB/PQ = BC/QR = AC/PR 
AC/PR = perimeter of triangle ABC/perimeter of triangle PQR 
AC/6 = 32/48 
AC*48 = 6*32 
therefore AC = 4cm 
 

InΔABC,DE//BC so that AD=24cm,AE=32cm A and EC = 48 cm. Find AB. 

AC/PR=32/48 AC/6=2/3 AC=4cm

This can be the solution

Given triangle abc similar to triangle pqr if ab/pq is 1/3 then find ratio of area of triangle abc to triangle pqr