To solve this problem, we can use the concept that the perimeter of a square is equal to four times the length of one of its sides.
Given that the perimeter varies directly as the length of the side, we can set up a proportion:
Perimeter1 / Side1 = Perimeter2 / Side2
Where:
- Perimeter1 is the perimeter of the first square (360 yards)
- Side1 is the length of one side of the first square (90 yards)
- Perimeter2 is the perimeter of the second square (which we want to find)
- Side2 is the length of one side of the second square (180 yards)
Now, we can plug in the given values and solve for Perimeter2:
360 / 90 = Perimeter2 / 180
To solve for Perimeter2, we can cross multiply:
Perimeter2 = (360 * 180) / 90
Perimeter2 = 720 yards
Therefore, the perimeter of the square when the side is 180 yards is 720 yards.
