no. of all marbles= 54

probability to get blue marble =1\3

3/54=18

no.of blue marbles is 18

probability of getting green marbles=4\9

9/54=6

no.ofgreen marbles 6×4=24

no.of white. marble=54-(18+24)

=54-42

=12

1) as we know

ratio of corresponding sides of similar triangle is equal to the ratio of their perimeters

and ratio of areas of two similar triangles is equal to the square of ratio of their corresponding sides

ar∆ABC= 9/16{ar∆DEF}

ar∆ABC/ ar∆DEF= 9/16

ratio of their corresponding sides= √9/√16

= 3/4

now,

ratio of corresponding sides= ratio of their perimeters

3/4= perimeter of ∆ABC / 24

perimeter of∆ ABC = 18