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Why do the areas of different shapes differ even if their perimeter is same?
Wiki User
∙ 13y ago
A rectangle that's 7 x 1 inches has a perimeter of 16inches,
and its area is 7 square inches.
A rectangle that's 5 x 3 inches also has a perimeter of 16 inches,
but its area is 15 square inches.
A rectangle that's 6 x 2 inches also has a perimeter of 16 inches,
but its area is 12 square inches.
A square that's 4 inches on each side also has a perimeter of 16 inches,
but its area is 16 square inches.
A circle that's 16 inches around the outside also has a perimeter of 16 inches,
and its area is 20.4 square inches.
There's no reason why there has to be a connection between perimeter and area.
Wiki User
∙ 13y ago
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How to convert perimeter feet into acres?
You can't. Different shapes with the same perimeter may have different areas.
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.
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 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 are area and perimeter and volume related?
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
How to convert perimeter feet into acres?
You can't. Different shapes with the same perimeter may have different areas.
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.
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.
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 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.
Is it possible for a shape to have the same area but different perimeter?
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.
What are the similarities between area and perimeter?
They are physical characteristics of a plane shape. 3-dimensional shapes do have areas, but the concept of a perimeter is generally restricted to plane shapes.
How are areas of regular shapes calculated?
There are different formulae for different shapes.
How do you draw a shape that is in square units but has the perimeter of 7?
All shapes have areas that are in square units so there is nothing you need do there. So all you need is a closed shape with a perimeter of 7 units. All shapes have areas that are in square units so there is nothing you need do there. So all you need is a closed shape with a perimeter of 7 units. All shapes have areas that are in square units so there is nothing you need do there. So all you need is a closed shape with a perimeter of 7 units. All shapes have areas that are in square units so there is nothing you need do there. So all you need is a closed shape with a perimeter of 7 units.
How are area and perimeter and volume related?
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
What shape has the same perimeter but not the same area?
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...
What is the ratio of the area of a circle to the area of a square?
Circle and square are two entirely different shapes. But the ratio of areas of square to circle if their perimeter is equal is pi/4.
