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

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Q: Two polygons that have the same perimeter but a different area?
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Same perimeter different area?

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)


How do you determine the area of a rectangle 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.


Can different rectangles have the same area and 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.


Can two parallelograms have the same perimeter but different areas?

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


What is the perimeter of 55 meter square?

The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you the shape. The shortest perimeter that could enclose that area would be a circle. The shortest perimeter with straight sides would be a square. If it's a rectangle, then there are an infinite number of them, all with different dimensions and different perimeters, that all have the same area.

Related questions

How do you find the Perimeter of a polygon with only the area?

Different polygons have different relationships between perimeter and area. For example, if we assume regular polygons, an equilateral triangle and a square have different perimeters for the same area. If you allow irregular polygons, the variety is even bigger.


If the area is 350square feet what is the perimeter?

There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.


Same perimeter different area?

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)


Can a shape have the same area but not perimeter?

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


What do you notice about the area of shapes that have the same perimeter?

That two different shapes may well have the same perimeter, but different areas. As an example, a 3 x 1 rectangle and a 2 x 2 rectangle have the same perimeter, but the area is different.


What shape has the same area but a different perimeter?

a square


Can shapes with the same area have different perimeter?

yes they can


How shapes have the same area but different perimeter?

Because the area is different than the perimeters


What shapes have the same perimeter but different areas?

Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.


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.


Do two different rectangles with the same perimeter necessarily have the same area?

no


How do you determine the area of a rectangle 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.