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No. Here are four rectangles with the same perimeter:
1 by 6 . . . . . perimeter = 14, area = 6
2 by 5 . . . . . perimeter = 14, area = 10
3 by 4 . . . . . perimeter = 14, area = 12
31/2 by 31/2 . . perimeter = 14, area = 121/4
With all the same perimeter . . . -- The nearer it is to being square, the more area it has.
-- The longer and skinnier it is, the less area it has. If somebody gives you some wire fence and tells you to put it up
around the most possible area, your first choice is to put it up in
a circle, and your second choice is to put it up in a square. Rectangles
are out, if you can avoid them.
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What would the perimeter of a rectangular 13 acre field?
The area doesn't tell you the dimensions or the perimeter. There's an infinitenumber of rectangles that all have the same area but different perimeters.The smallest perimeter that encloses 13 acres is a circle with diameter of 849.12 feet,and perimeter (circumference) of 2,667.6 feet.The smallest possible perimeter of a rectangle that encloses 13 acres is squarewith sides of 752.5 feet, and perimeter of 3,010.1 feet .You can draw 13-acre rectangles with any perimeter you want that's larger than that.Here are a few. These all enclose 13 acres.60' x 9,438' . . . perimeter = 18,996'120' x 4,719' . . . . . 9,678'143' x 3,960' . . . . . 8,206180' x 3,146' . . . . . 6,652'360' x 1,573' . . . . . 3,866'429' x 1,320' . . . . . 3,498'660' x 858' . . . . . . 3,036'
What is the perimeter of a 6000 square meter block?
To find the perimeter of a square, you need to know the length of one side. Since the block is 6000 square meters, we need to calculate the side length of the square. To do this, we take the square root of the area, which is the square root of 6000, approximately 77.46 meters. The perimeter of a square is calculated by multiplying the side length by 4, so the perimeter of a 6000 square meter block would be 4 x 77.46 = 309.84 meters.
Are all rectangles squares why or why not?
No. All rectangles are not square because 2 of the sides are longer while the square's side is all the same size.
Can all rectangles be cut in half vertically or horizontally to make two smaller rectangles that are the the same size and the same shape?
Yes.
How many lineal feet of cove base floor trim will be required if your floor area is 170 square feet?
The number of lineal feet required is the perimeter. Unfortunately, it is impossible to convert from the area of a shape to its perimeter. First of all, the shape of the area is not known. A circular shape with an area of 170 sqft would have a perimeter of 46.22 feet (to 2 dp). That is the smallest possible perimeter. If you squashed the circle into an ellipse you could increase the perimeter without limit (see similar argument for rectangles, below). Other shapes, have different perimeters. Within each polygonal shape, there is great variation. For eaxmple, all the following rectangles have an area of 170 sq feet, but look at their perimeters, P! 10ft *17ft (P=54ft) 1ft *170ft (P=342ft) 0.1ft *1700ft (P=3400.2ft) 0.01ft *17000ft (P=34000.02ft) 0.001ft *170000ft (P=340000.002ft) Hopefully, you get the picture.
