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A circle.

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Q: With the same perimeter which shape will have largest area?
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Continue Learning about Geometry

How are perimeter and area the same?

both include the outside of the shape


Is it possible for two shapes to have the same area but different perimeters?

Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.


When is area equal to perimeter?

Strictly speaking an area cannot equal a perimeter because an area is a two dimensional concept while a perimeter is one dimensional. A shape can have the same number for its perimeter and its diameter but then thanks to the dimensionality of these measures, this is totally dependant on the units of measurement used.For example a 4m * 4m square has an area of 16 m2 and a perimeter of 16 m. So far so good.But the same shape could be describes as a 400cm * 400 cm square. Now area = 160000 cm2 while perimeter = 1600 cm.Or, 13.1234 ft*13.1234 ft giving an area of 172.2226 square ft and a perimeter of 52.4934 ft.So, through appropriate choice of the unit of measurement, the area and perimeter of any shape can be made numerically equal.


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.


What is the same of perimeter area and volume?

the perimeter of the value is that the area and volume are perpendicular to each other

Related questions

Is perimeter and area the same?

No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.


Should the area of a shape be the same as the perimeter?

No.


Is there a shape with the same perimeter and area?

There is a square that has a length of 4. Area: 4 x 4: 16 Perimeter: 4+4+4+4= 16 Yes, there is a shape with the same perimeter and area.


What shape has the same area but a different perimeter?

a square


Can a shape have the same area but not perimeter?

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


Why can you have a shape with different perimeters but the same area?

they are different because perimeter is the out side of the shape and area is inside of the shape.


How are perimeter and area the same?

both include the outside of the shape


Can a rectangle have the same perimeter but different area explain?

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


Which shape with the same area takes up the least perimeter?

A circle


Which quadrilateral will give you the greatest area for the least perimeter?

A square will. The only shape that can enclose more area with the same perimeter is a circle.


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.


What is the perimeter of 170 acres?

That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape.