Answer:
\(\text{Perimeter of square b}=108\text{ yards}\)
Step-by-step explanation:
We have been given that the ratio of the side length of square a to the side length of square b is 4:9. The side length of square a is 12 yards.
First of all, we will find the side length of square b using proportions as:
\(\frac{a}{b}=\frac{4}{9}\)
\(\frac{12}{b}=\frac{4}{9}\)
Cross multiplying the equation:
\(4b=12*9\)
\(\frac{4b}{4}=\frac{12*9}{4}\)
\(b=3*9\)
\(b=27\)
We know that perimeter of a square is 4 times the length of its each side.
\(\text{Perimeter of square b}=4\times 27\)
\(\text{Perimeter of square b}=108\)
Therefore, the perimeter of square b is 108 yards.
