Answer :
To solve this problem, we will tackle each question one by one.
First, let's find the perimeter of the original square field. The perimeter of a square is calculated by adding up the lengths of all four sides together. Since all sides of a square are equal, we can simply multiply the length of one side by 4.
Given:
- The length of one side of the square field is 240 ft.
Using the formula for the perimeter of a square:
- Perimeter = side length × number of sides
Since a square has 4 sides, we have:
- Perimeter = 240 ft × 4
- Perimeter = 960 ft
Now we have the perimeter of the square field: 960 ft.
Next, let's double the length of each side of the field and find the new perimeter. If the original side length is 240 ft, then the doubled side length will be:
- Doubled side length = original side length × 2
- Doubled side length = 240 ft × 2
- Doubled side length = 480 ft
Now, we calculate the perimeter of the square with the doubled side length using the same formula as before:
- Perimeter of new square = doubled side length × number of sides
- Perimeter of new square = 480 ft × 4
- Perimeter of new square = 1920 ft
Finally, we have the new perimeter of the square field after doubling the length of each side: 1920 ft.
Therefore, the correct answer to the question is:
B) 960 ft, 1920 ft
First, let's find the perimeter of the original square field. The perimeter of a square is calculated by adding up the lengths of all four sides together. Since all sides of a square are equal, we can simply multiply the length of one side by 4.
Given:
- The length of one side of the square field is 240 ft.
Using the formula for the perimeter of a square:
- Perimeter = side length × number of sides
Since a square has 4 sides, we have:
- Perimeter = 240 ft × 4
- Perimeter = 960 ft
Now we have the perimeter of the square field: 960 ft.
Next, let's double the length of each side of the field and find the new perimeter. If the original side length is 240 ft, then the doubled side length will be:
- Doubled side length = original side length × 2
- Doubled side length = 240 ft × 2
- Doubled side length = 480 ft
Now, we calculate the perimeter of the square with the doubled side length using the same formula as before:
- Perimeter of new square = doubled side length × number of sides
- Perimeter of new square = 480 ft × 4
- Perimeter of new square = 1920 ft
Finally, we have the new perimeter of the square field after doubling the length of each side: 1920 ft.
Therefore, the correct answer to the question is:
B) 960 ft, 1920 ft