Math and Arithmetic
Algebra
Geometry

# Is it possible for a shape to have the same perimeter but different area?

001 ###### 2010-09-30 19:46:08

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.

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## Related Questions 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. The perimeter is the outside of a shape and the area is the inside of it they are different because perimeter is the out side of the shape and area is inside of the shape. Most shapes have different perimeter than area, as far as value.  There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area. perimeter is when you have a shape and then you have your area and that is what is in the middle of the shape and perimeter is the edge of the shape. It depends on what the shape is and what information you have about it. There are many different formulae. It is different for each shape. A perimeter is the distance around an object and the area is the square units it takes up. Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is. A 5-acre surface (or a surface of any other specific area) can have a different perimeter, depending on the exact shape.A 5-acre surface (or a surface of any other specific area) can have a different perimeter, depending on the exact shape.A 5-acre surface (or a surface of any other specific area) can have a different perimeter, depending on the exact shape.A 5-acre surface (or a surface of any other specific area) can have a different perimeter, depending on the exact shape. There is not a single perimeter associated to a given area. You can have different perimeters, depending on the shape. The area of a 2-dimensional shape is the amount of space contained within its boundaries. The perimeter is the total length of the boundary. Perimeter and area are not sufficient to determine the shape of a figure. No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape. That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape. perimeter means inside of shape and u addarea means outside of shape and u multiplyperimeter and area questions It depends on the shape. Any area up to 20.37 square cm is possible. Perimeter is the outside. The area is the inside of a shape.  No, any shape with four sides and same perimeter will always be a square. Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape A square has the same area and perimeter of 16cm  ###### Math and ArithmeticGeometryJava ProgrammingAlgebra Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.