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Not at all. For example:

  • A square of 2 x 2 will have a perimeter of 8, and an area of 4.
    • A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.
    • A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero.

      The circle has the largest area for a given perimeter/circumference.

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    Wiki User

    14y ago

    Not at all. For example:

  • A square of 2 x 2 will have a perimeter of 8, and an area of 4.
    • A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.
    • A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero.

      The circle has the largest area for a given perimeter/circumference.

      Not at all. For example:

    • A square of 2 x 2 will have a perimeter of 8, and an area of 4.
    • A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.
    • A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero.

      The circle has the largest area for a given perimeter/circumference.

      Not at all. For example:

    • A square of 2 x 2 will have a perimeter of 8, and an area of 4.
    • A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.
    • A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero.

      The circle has the largest area for a given perimeter/circumference.

      Not at all. For example:

    • A square of 2 x 2 will have a perimeter of 8, and an area of 4.
    • A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.
    • A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero.

      The circle has the largest area for a given perimeter/circumference.

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    Q: If two shapes have the same perimeter will they have the same area?
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    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.


    How do you work out area in cm2 from perimeter?

    If the sides are in cm, then you would multiply the length of the shape by the width, which equals area. And area is in the unit of the sides but squared. So in this example it would be cm2. ========================================= The answer to the question is: You can't. The perimeter doesn't tell you what the area is. You can have two different drawings with the same perimeter and different areas, or with the same area and different perimeters. Even if they're both triangles, or both rectangles, etc. You can't take perimeter and 'work out' area from it.


    Is area the same as perimeter?

    No. Area is the amount of square centimeters (cm^2) inside an object. Perimeter is just the amount of (whatever unit you are using) around an object. Two totally different things.


    What is the area and perimeter of a shaded rectangle?

    The area is the length times the width. The perimeter is two times the length plus two times the width.


    If two rectangles have the same area do they have the same perimeter too explain how you know?

    Not necessarily. For instance If you take two rectangles whose area's are 36in squared. One could be 6 by 6 while the other could be 9 by 4. Thus ones Perimeter would be 24in with the others would be 26in.

    Related questions

    Can two shapes have the same perimeter?

    Yes - even shapes with different area.


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

    Only if they have the same number of sides.


    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.


    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.


    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.


    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 a congruant shape?

    Congruent shapes are two shapes that are the same (angles, size perimeter/circumference)


    Why are area and perimeter not dependent on one another?

    That's because you can easily have two different shapes with the SAME perimeter, and DIFFERENT areas, or vice versa. Here is an example:* A 2x2 rectangle has an area of 4, and a perimeter of 8. * A 1x3 rectangle has an area of 3, and a perimeter of 8. * A 0x4 rectangle has an area of 0, and a perimeter of 8. (If you don't like this rectangle, you can make one that is arbitrarily close, i.e., a very small width.) Note that for two SIMILAR figures, any linear measurements are proportional to the scale size, and any area measure is proportional to the square of the scale size - that will make the area proportional to the perimeter, but only for two similar shapes, e.g., two rectangles with the same length-to-width ratio.


    If two squares have the same area what do you know about the perimeter?

    Then they both will have the same perimeter


    Are two objects congruent just because they have the same perimeter?

    No. The corresponding sides and angles of the two shapes MUST be the same.


    If two triangles have the same perimeter will they have the same area?

    fu


    Can two shapes have the same area and different perimeters?

    Yes Example: Rectangle A has an area of 64 cm. and a perimeter of 32 8 cm. by 8 cm. Rectangle B has an area of 64 cm. and a perimeter of 40 4 cm. by 16 cm