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Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm.
Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square.
Perimeter of 3x * x/3 = 62/3x cm.
Perimeter of 100x * x/100 = 200.02x cm
Perimeter of 1000000x * x/1000000 = 2000000.000002x cm.
As you can see, it is possible to increase the perimeter without limit.
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∙ 11y ago
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How do you figure out the area if you know the perimeter?
You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.
What is the smallest figure with a perimeter of 20 but the smallest possible area?
A 9 x 1 rectangle has a perimeter of 20 and an area of 9; A 9.5 x 0.5 rectangle has the same perimeter but an area of 4.75; You can go a long way along this road...
Can you keep the perimeter the same and make the area smaller or larger?
Yes and no. You can make the area narrower or wider, but you can't actually change it.
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.
If same area in a rectangle does that mean same perimeter?
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.
How do you figure out the area if you know the perimeter?
You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.
What is the smallest figure with a perimeter of 20 but the smallest possible area?
A 9 x 1 rectangle has a perimeter of 20 and an area of 9; A 9.5 x 0.5 rectangle has the same perimeter but an area of 4.75; You can go a long way along this road...
Can you keep the perimeter the same and make the area smaller or larger?
Yes and no. You can make the area narrower or wider, but you can't actually change it.
Is the perimiter of 11 by 12 rectangle smaller or larger than the perimiter of a sqare with the same area?
11 x 12 rectangle has a larger perimeter = 46 units The 132 square unit area will give a square a perimeter of 45.9565 units
True or false if two rectangles have the same length then the rectangle with the larger perimeter must have the larger area?
True, because perimeter is 2L+2W, and area is LW, and because they both have the same Length (L), whichever one has the higher Width (W) will have the larger area and perimeter.For ExampleL=10 W=5Perimeter = 30Area = 50L=10 W=6Perimeter = 32Area = 60
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.
If same area in a rectangle does that mean same perimeter?
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.
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.
Why the area and the perimeter of a figure can never be equal?
The area and perimeter cannot be equal because the perimeter is a linear measure while an area is a square measure. However, it is perfectly possible for them to have the same numerical value. For example, a 3cm by 6 cm square has a perimeter of 2*(3+6) = 18 cm and an area or 3*6 = 18 sq cm.
If two squares have the same area what do you know about the perimeter?
Then they both will have the same perimeter
How do you determine acreage from perimeter?
You would have to know what kind of figure you are talking about. For the same perimeter, you can have a different surface area, depending on whether you have a circle, a square, different kinds of rectangles, etc.
Is the preimeter of a polygon greater than the area of the polygon?
Either of the two can have the larger magnitude although, since one is a length and the other an area, they cannot be compared directly. Moreover, it depends on the units used. For example, a square measuring 3 cm by 3 cm has a perimeter of 12 cm and an area of 9 cm2. The perimeter has the larger magnitude. But the same square can be said to have sides of 30 millimetres. This gives a perimeter of 120 mm and an area of 900 mm2. The area has the larger magnitude. The same sort of result applies to other polygons.
