Question

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. what is the perimeter of square b?

Answer 1

Side length of square b would be: 12*9/4 = 27 yards

perimeter of square b = 4*27 = 108 yards

Answer 2

`\text{Perimeter of square b}=108\text{ yards}`

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:

`(a)/(b)=(4)/(9)`

`(12)/(b)=(4)/(9)`

Cross multiplying the equation:

`4b=12*9`

`(4b)/(4)=(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* 27`

`\text{Perimeter of square b}=108`

Therefore, the perimeter of square b is 108 yards.