Answer:10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics
Explanation:
This question is a ratio/proportion question
The ratio of hexagonal pieces use to rectangular pieces used and to triangular pieces used can be expressed as 1:3:4
Total pieces of fabrics used = 80
Total ratio = 1 + 3 + 4 = 8
We can calculate each ratio as a proportion of the total ratio
pieces of hexagonal used = (1/8) * 80 =10
Pieces of rectangular used = (3/8) * 80 =30
Pieces of triangular used = (4/8) * 80 = 40
And hence the pieces of each shapes used will be 10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics
And the total number of bugs designs made = (80/8) = 10 (since it will require 8 pieces of fabrics(1 + 3 +4) to make a bug design)