a) field 1:
Step-by-step explanation:
a) Area of the rectangular field = 100ft²
For field 1:
width = 4 ft
Area of a rectangle = length × width
length = area/width
length for field 1 = 100/4
length = 25 ft
perimeter of a rectangle = 2(length + width)
perimeter = 2(25 + 4) = 2(29)
perimeter = 58 ft
For field 2:
width = 5 ft
length = 100/5
length = 20 ft
perimeter = 2(20 + 5) = 2(25)
perimeter = 50 ft
For field 3:
width = 10ft
length = 100/10
length = 10
perimeter = 2(10 + 10) = 2(20)
perimeter = 40 ft
b) To fence a rectangular field, this means the length of the fence will be the perimeter of the field
As a result, length of fencing for field 1 = 58ft
length of fencing for field 2 = 50 ft
length of fencing for field 3 = 40 ft
The least amount of fencing out of the three fields is 40 ft
Hence, field 3 will require the least amount of fencing