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For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.

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Q: In general describe the rectangle that has the least area for a fixed perimeter?
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Related questions

How do describe a rectangle with whole number dimensions that has the greatest perimeter for a fixed area?

You dont

Which rectangle has the greatest area for a fixed perimeter?

The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.

What is the maximum area for a rectangle whose perimeter is 136?

The maximum area for a rectangle of fixed perimeter is that of the square that can be formed with the given perimeter. 136/4 = 34, so that the side of such a square will be 34 and its area 342 = 1156.

What is fixed perimeter?

fixed perimeter is the perimeter being fixed

Do all shapes with fixed perimeter have same area?

nope because if u have a square with a side length of 4 then the perimeter is 16 and the area is 16 and say if u have a rectangle with side lengths of 2 and 6 then the perimeter is 16 but the area is 12 so the answer is no

The length of a rectangle is fixed at 24 cm what widths will mame the perimeter greater than 100cm?

P (perimeter of a rectangle) = 2*l+2*w 2*24+2*w > 100 2*w > 52 w > 26 Any width greater than 26cm will cause the perimeter to be greater than 100cm.

What is a fixed perimeter?

A perimeter that will not change.

How do you find the area of a rectangle with only the perimeter?

The clever person might realize that, though an infinite number of rectangles can be created with a fixed perimeter, there is a maximum and minimum area that any rectangle formed under the constriction can have. And we can work with that. The minimum area will be "near" zero. (With an area "at" zero, the rectangle will collapse and/or disappear.) The rectangle with "maximumized" area for a fixed perimeter will be a square. Its side (designated by "s") will be one fourth of the perimeter (designated by "p"). If s = p/4 and we use the formula for finding the area (As) of a square substituing our "p/4" for the side length "s" we will get the equation: As = (p/4)2 Our rectangle(s) will all have an area (Ar) within this range: Zero is less than Ar which is less than or equal to (p/4)2 Though we couldn't come up with a precise answer, we came up with the next best thing with the information supplied.

What is the relationship between the perimeter and area when area is fixed?

For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.

The width of a rectangle is fixed at 14 cm What lengths will make the perimeter greater than 98 cm?

L + W = P/2 = 49 so Length must be greater than 35 cm

The length of a rectangle is fixed at 24 cm what widths will make the perimeter greater than 96 cm?

Anything greater than 24 cm. P = 2*L + 2*W, since the length is fixed at 24cm we have: 2*(24cm) +2*W > 96cm 2W > 96 - 48cm 2W > 48cm, or Width > 24cm. So any width greater than 24cm will make the perimeter >96cm. Obviously a width of 24cm wouldn't work since a polygon with all four sides equal would be a square and not a rectangle.

Do all shapes with fixed perimeter have the same area?


What is the length and width of a rectangle that has a fixed perimeter of 15 meters?

Conventionally, length > width. With that assumption, if L is the length and W the width (both in metres) then 3.75 < L < 7.5 and W = 7.5 - L If L = 3.75 then W = L and the rectangle becomes a square.

What is a fixed area of a rectangle?

A fixed area of a rectangle is an area that doesn't change. An area is a quantity that measures the space of a shape.Consider this example:A = length x width, which is the formula of a rectangleIf A is fixed, then it depends on what values length and width are. Then, length is indirectly proportional to width in order for A to remain fixed.

What is the formula for fixed area of a rectangle?

Area rectangle = length x width (using same units).

How do you find fixed perimeter?

The perimeter is the sum of all of the sides of the figure. So, simply add up ALL the sides to discover what the perimeter is.

What state has a fixed shape?

Colorado is a perfect rectangle.

How do you find the fixed area of a rectangle?

I don't know what you mean by fixed area. All I know is that the area of a rectangle is the length times the width. As long as you don't change the length or the width, or change it into a different kind of shape, this area will remain fixed.

Describe the law of definite proportions?

This law is: a chemical compound has the components in a fixed ratio.This law don't has today a general validity.

A carpenter is building a rectangular room with a fixed perimeter of 376 ft What dimensions would yield the maximum area What is the maximum area?

The rectangle with the most area for a given perimeter is the square.Build the room square, with sides of 94-ft. The area is 8,836 square ft.

What is the area for an octagon with a fixed perimeter of 300?

Approximately 6,789.98 units2

How many meters are in the perimeter of one acre?

It depends on the shape of the acre, it is not a fixed distance.

How do you convert area into perimeter?

You can't: there are many different shapes with the same area that have different perimeters. For example, if you have an area of 100, the figure could be a 10 by 10 square (with a perimeter of 40), a 20 by 5 rectangle (with a perimeter of 50), or even a circle with a radius of about 5.64, and a perimeter of about 35.44. You might be able to figure out the perimeter if you know something about the shape. If you know it's a square, for example, then the perimiter is 4 times the square root of the area. It's also interesting to note that of all shapes with the same area, the one with the smallest perimeter will be a circle. This is why soap bubbles are round: their contents are fixed, but surface tension makes the bubble "try" to minimize the perimeter.

The width of a retangle is fixed at 16cm what lenghts will make the perimeter greater than 78cm?

The perimeter of a rectangle is 2 x length + 2 x width. If the width is 16 then 78 = 2 x length + 2 x 16 2 x length = 78 - 32 = 46 length = 23. For the perimeter to be greater than 78 cm, the length must be greater than 23 cm

Is it possible for the perimeter of a figure to change?

no If the shape of the object is not fixed, it would be possible to alter the shape of the perimeter, but not the length, i.e., the distance around the object being enclosed.