Side length of square b would be: 12*9/4 = 27 yards
perimeter of square b = 4*27 = 108 yards
Answer:
[tex]\text{Perimeter of square b}=108\text{ yards}[/tex]
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:
[tex]\frac{a}{b}=\frac{4}{9}[/tex]
[tex]\frac{12}{b}=\frac{4}{9}[/tex]
Cross multiplying the equation:
[tex]4b=12*9[/tex]
[tex]\frac{4b}{4}=\frac{12*9}{4}[/tex]
[tex]b=3*9[/tex]
[tex]b=27[/tex]
We know that perimeter of a square is 4 times the length of its each side.
[tex]\text{Perimeter of square b}=4\times 27[/tex]
[tex]\text{Perimeter of square b}=108[/tex]
Therefore, the perimeter of square b is 108 yards.
