Best Answer

Not at all. For example:

- 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.

Study guides

☆☆

More answers

Not at all. For example:

- 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.

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

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

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.

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

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.

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.

congruent shapes :)

Related questions

Yes - even shapes with different area.

Only if they have the same number of sides.

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.

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.

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.

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

Then they both will have the same perimeter

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...

fu

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

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.

To find the perimeter of two-dimensional shapes, add the lengths of all the sides together. The sum is the perimeter of the figure.

People also asked