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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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Q: Do all rectangles with the same perimeter have the same area?
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Continue Learning about Other Math

What is the perimeter of a 6000 square meter block?

That depends on the exact form of the block - whether it is square, or different forms of rectangles. The perimeter to area ratio is not the same for all shapes.


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'


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.

Related questions

Find 4 rectangles with same area with different perimeter?

10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2


Is the area the same on all rectangles with the same perimeter?

No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.


What is the relationship for perimeter and area for rectangle?

There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.


How do you calculate the perimeter and area of a shape?

Perimeter: add all sides area: multiply length times width for rectangles


What is the perimeter in meters of a 28 acre field?

The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.


What is the perimeter of a 6000 square meter block?

That depends on the exact form of the block - whether it is square, or different forms of rectangles. The perimeter to area ratio is not the same for all shapes.


What is the perimeter of an area 36cm sqared?

The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you the shape. -- Your area of 36 cm2 could be a circle with a diameter of 6.77 . (Perimeter = 21.27.) -- It could be a square with sides of 6 . (Perimeter = 24.) -- It could be rectangles that measure 1 by 36 (Perimeter = 74) 2 by 18 (Perimeter = 40) 3 by 12 (Perimeter = 30) 4 by 9 (Perimeter = 26). There are an infinite number of more rectangles that it could be, all with the same area but different perimeters.


What are allrectangles whose dimensions are whole nos and their area and perimeter is same?

To be perfectly correct about it, a perimeter and an area can never be equal.A perimeter has linear units, while an area has square units.You probably mean that the perimeter and the area are the same number,regardless of the units.It's not possible to list all of the rectangles whose perimeter and area are thesame number, because there are an infinite number of such rectangles.-- Pick any number you want for the length of your rectangle.-- Then make the width equal to (double the length) divided by (the length minus 2).The number of linear units around the perimeter, and the number of square unitsin the area, are now the same number.


What is the length of the sides of a rectangle that has a perimeter of .875?

You can't tell the dimensions from the perimeter. There are an infinite number of different rectangles, all with different lengths and widths, that all have the same perimeter.


Are all rectangles with the perimiter of 20 feet equal the same area?

No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.


What is the total perimeter of 6 square feet?

You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10


What is the perimeter of 5000 acres in meters?

You can't tell the linear dimensions from knowing only the area. There are an infinite number of shapes that all have the same area. Even if you consider only rectangles, there are still an infinite number of different rectangles, all with different lengths and widths, that all have areas of 5,000 acres.