An area of 36 square metres is being enclosed on all 4 sides with the least amount of fence. If the fence comes in 2 metre sections, how many sections are neede?
The dimensions could be
2 * 18
3 * 12
4 * 9
6 * 6
P = 2L + 2W
P = (2 * 2) + (2 * 18)
P = 40
Take it from there.
To find out how many 2-meter sections of fence are needed, we first need to calculate the perimeter of the enclosed area.
The area of the rectangle is given as 36 square meters. We can find the dimensions of the rectangle by finding numbers that multiply to 36. The possible dimensions could be 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6.
Since we are looking for the least amount of fence required, we want to find the dimensions that result in the smallest perimeter. In this case, the dimensions that result in the smallest perimeter are 6 x 6.
To find the perimeter of a rectangle, we add up all the sides. In our case, we have two sides of length 6 meters and two sides of length 6 meters.
Perimeter = 2 * (length + width)
Perimeter = 2 * (6 + 6)
Perimeter = 2 * 12
Perimeter = 24 meters
Since each section of fence is 2 meters long, we divide the perimeter by 2 to find the number of sections needed:
Number of sections = Perimeter / Length of each section
Number of sections = 24 / 2
Number of sections = 12
Therefore, 12 sections of 2-meter fence are needed to enclose the area of 36 square meters.