A small farm field is a square measuring 240 ft on a side. What is the perimeter of the field? If you double the
length of each side of the field, what is the new perimeter?
A) 480 ft, 960 ft
B) 960 ft, 1920 ft
240 ft, 960 ft
D) 480 ft, 1920 ft



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