Question

Goran wants to fence off a rectangular field that is 100ft^2 in size to grow vegetables. He is considering three fields with widths of 4ft, 5ft, and 10ft. Answer the questions below to find which of these fields would require the least amount of fencing.

Answer 1

Explanation:

To find the field that would require the least amount of fencing, we need to calculate the perimeter of each field.

The perimeter of a rectangle is calculated with the following formula:

Perimeter = 2 * (length + width)

Since the area of each field is 100ft^2, we can use the following formula to calculate the length of each field:

Length = Area / Width

Field with width of 4ft:

Length = 100ft^2 / 4ft = 25ft

Perimeter = 2 * (25ft + 4ft) = 58ft

Field with width of 5ft:

Length = 100ft^2 / 5ft = 20ft

Perimeter = 2 * (20ft + 5ft) = 40ft

Field with width of 10ft:

Length = 100ft^2 / 10ft = 10ft

Perimeter = 2 * (10ft + 10ft) = 40ft

Conclusion:

The field with a width of 5ft would require the least amount of fencing, as it has a perimeter of 40ft. The field with a width of 10ft would also require 40ft of fencing, but the field with a width of 4ft would require 58ft of fencing.