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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 same of perimeter area and volume?

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


Shapes with the same area do they have the same perimeter?

No.Rectangle 5 x 10. Area = 50. Perimeter = 30.Rectangle 2 x 25. Area = 50. Perimeter = 54.