You have fencing material enough for a 100-yard fence. In what shape would you build the fence to get the maximum area? Why? Your answer is: (1) shape (one word); (2) Reason why you have selected this particular shape (one sentence). Possible shapes: romboid, parallelogram, triangle, pentagon, square, circle, hexagon, etc.

Question

Mathematics

Abbigail Brock

4 December, 14:57

You have fencing material enough for a 100-yard fence. In what shape would you build the fence to get the maximum area? Why? Your answer is: (1) shape (one word); (2) Reason why you have selected this particular shape (one sentence). Possible shapes: romboid, parallelogram, triangle, pentagon, square, circle, hexagon, etc.

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Answers (1)

Know the Answer?

Rex Carter · Answer 1

1.) Circle

2.) It gives the maximum area among others

Step-by-step explanation:

Given that the fencing material = 100 yard. That means circumference = 100

Circumference of a circle = 2πr

100 = 2πr

r = 50 / π

Area of a circle = πr^2

Area of a circle = π * (50/π) ^2

= 2500 / π

= 795.77 squared yard

If the area of Pentagon is calculated, we will get 688 squared yard.

Also, if the area hexagon is calculated, we will get 716 square yard