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Geometry

Can two parallelograms have the same perimeter but different areas?

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2012-01-11 23:06:06
2012-01-11 23:06:06

yes, for example:

a 4 by 5 rectangle has an area of 20 and a perimeter of 18

a 2 by 7 rectangle has an area of 14 and a perimeter of 18

they both have a perimeter of 18

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You can't. Different shapes with the same perimeter may have different areas.


Given any shape with a given area you can another shape with the same area but a different perimeter. And convesely, given any perimeter you can have another shape with the same perimeter but a different area. And these apply for the infinite number of shapes.


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.


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.


yes, for example:a 4 by 5 rectangle has an area of 20 and a perimeter of 18a 2 by 7 rectangle has an area of 14 and a perimeter of 18yes, for example:


The circle has the largest area. The area can be made as small as you like.


Yard is a measure of length; there is no standard conversion to area. Different figures of the same length, or of the same perimeter, can have different areas.


No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.


Begs the question: Same perimeter as what? There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...


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


Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.


I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).


For example, a 1x15 rectangle and a 2x14 rectangle. They both have perimeter of 32, but they have areas of 15 and 28, respectively.


Yes, if you keep the bottom base and the top base the same height from each other and the same length, you can "stretch" them apart laterally, shrinking all four angles and increasing the angular left and right sides creating higher perimeter.


It's very easy for two rectangles to have the same area and different perimeters,or the same perimeter and different areas. In either case, it would be obvious toyou when you see them that there's something different about them, and theywould not fit one on top of the other.But if two rectangles have the same area and the same perimeter, then to look at themyou'd swear that they're the same rectangle, and one could be laid down on the otherand fit exactly.


Any plane shape can have the same perimeter as any other plane shape.


No. All rhombi (rhombuses) are parallelograms but all parallelograms are not rhombi.


No. There are lots of different types of parallelograms, which have varied angles.


If the sides are in cm, then you would multiply the length of the shape by the width, which equals area. And area is in the unit of the sides but squared. So in this example it would be cm2. ========================================= The answer to the question is: You can't. The perimeter doesn't tell you what the area is. You can have two different drawings with the same perimeter and different areas, or with the same area and different perimeters. Even if they're both triangles, or both rectangles, etc. You can't take perimeter and 'work out' area from it.


No, any shape with four sides and same perimeter will always be a square.


Perimeters can be lower numbers than areas, andthey can be higher numbers than areas.Here's something really cool. Watch this one:I have two rectangles.One rectangle is 2 by 22. The other rectangle is 11 by 13.First rectangle:Perimeter is 48.Area is 44.Area is a lower number.Second rectangle:Perimeter is also 48, same as the first one.Area is 143.Perimeter is a much lower number.==> My two rectangles have the same perimeter but different areas.==> In the first one, the area is the lower number.==> In the second one, the perimeter is the lower number.


Yes. A 1 x 4 and a 2 x 3 have the same perimeter.


Most shapes have different perimeter than area, as far as value.


There is no standard relationship between perimeter and area. For example, you can have two rectangles that have the same perimeter, but different area.


Yes. Ex: A 5"x4" rectangle has the same perimeter as an equilateral triangle with sides 6" long.



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