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No. For example 1 sq. f. circle has 2*Pi*(1/Pi)^0.5 perimeter and 1 sq. f. square has perimeter of 4. As you can see 2*Pi*(1/Pi)^0.5 does not equals 4.

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Q: Do all shapes with fixed area have the same perimeter?
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Do all shapes with fixed perimeter have same area?

nope because if u have a square with a side length of 4 then the perimeter is 16 and the area is 16 and say if u have a rectangle with side lengths of 2 and 6 then the perimeter is 16 but the area is 12 so the answer is no


Can shapes with the same area have different perimeter?

yes they can


Can a shape have the same area but not perimeter?

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


In general describe the rectangle that has the least area for a fixed perimeter?

For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.


Can two shapes have the same perimeter?

Yes - even shapes with different area.


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 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.


How shapes have the same area but different perimeter?

Because the area is different than the perimeters


If two shapes have the same area and perimeter are they congruent?

Only if they have the same number of sides.


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.


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

No.It is not possible for the shape with the same perimeter to have the same area. This is because, to do this, you would have to cut up two shapes into eight pieces, add the amount of them all together and divide them by 7.559832076. By doing this you are breaking the seventh note, this is against the laws of trigonometry there by breaking this rule of concentration, so this statment; having shapes with the same perimeter have the same area, is therefor not true!Thank you.


Are there shapes with the same area but a different perimeter?

Certainly. Infinitely many for any given area.