Let the length (parallel to the wall) be L and the width (perpendicular to the wall) be W, then:
The Fencing used along three sides is:
L + 2W = 80
→ L = 80 - 2W
And the area of the enclosed rectangle is:
area = LW
→ area = (80 - 2W)W
→ area = 80W - 2W²
Completing the square gives:
→ area = -2(W² - 40)
→ area = -2((W - 20)² - 20²)
→ area = 800 - 2(W - 20)²
As a square is always positive, this has a maximum value of 800 when W - 20 = 0
→ max area is 800 m² (and occurs when W = 20m and L = 80 - 2W = 40m).
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Alternatively, using calculus:
for a maximum area: d/dW area = 0
→ d/dW 80W - 2W² = 80 - 4W = 0
→ 4W = 80
→ W = 20
→ L = 80 - 2W = 80 - 2×20 = 40
→ max_area = 40×20 = 800 m²
(Note that the non-calculus method of completing the square gives the maximum area without the need to actually work out the dimensions of the enclosure, though for the calculus method, once the width is known the area can be calculated directly: area = 80×20 - 2×20² = 800 m² but that involves large numbers, unless it is calculated as 20(80 - 2×20) which is effectively calculating the length.)
1218.236 metres.
55 meters. This makes the length parallel to river 110 meters, total area = 55 x 110 =6050 sq meters. I did this using differential calculus. If you don't know this, you can try other combinations. Put short side equal to 50 or 60 meters and work out area, it will be less!
A rectangular prism has six faces. Four of these must be rectangular: the other two may be square or rectangular.
A rectangular prism is the only shape that is made up from only rectangular faces. But there are countless shapes which contain rectangular faces along with other shapes.
A cube, or any other rectangular prism
1218.236 metres.
55 meters. This makes the length parallel to river 110 meters, total area = 55 x 110 =6050 sq meters. I did this using differential calculus. If you don't know this, you can try other combinations. Put short side equal to 50 or 60 meters and work out area, it will be less!
4 x 4
If bought through Leon Paul, the official fencing gear supplier of both the United States Fencing Association and British Fencing, a recommended electric foil will cost $180. However, there are many other fencing gear suppliers, and Leon Paul is known to be one of the most expensive of all of them. See related links for links to Leon Paul and other fencing gear suppliers.
A ziggurat could be oval, rectangular, square, or any other shape. If happened to have a square base, its perimeter would be four times its length (4 x 22 meters = 88 it meters).
Numerous business establishments specializing in ranch fencing can be found online including Stockyard Supply, who specialized in ranch fencing materials, and others such as Fence and Ranch, 440 Fence, and Penrod Fence, who sell ranch fencing and other fencing supplies.
Nothing. What did you expect? But I guess if you have two of them fencing at each other, then the first that started taunting will kill the other.
A rectangular prism has six faces. Four of these must be rectangular: the other two may be square or rectangular.
With all fencing there are some maintenance that is involved due to the wear of the fence. Vinyl fencing does require less maintance then the other types of fences.
Ranch fences look more outdoorsy than most other fences. They, no surprise, look like something one would see on a ranch. Also, they are safer than any other type of fencing for horses.
It doesn't. Fencing takes place in the physical world, and so it's action is ruled by the laws of physics, not the other way around. Physics is exactly the same whether fencing take place or not. How does physics affect fencing? Do your own homework.
A rectangular triangle is an oxymoron! A triangle cannot be rectangular and no rectangular shape can be a triangle. The two words contradict each other.