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Rectangle 5 x 10. Area = 50. Perimeter = 30.

Rectangle 2 x 25. Area = 50. Perimeter = 54.

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โˆ™ 15y ago
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โˆ™ 4y ago

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4 x 4

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Q: Shapes with the same area do they have the same perimeter?
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Continue Learning about Geometry

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.


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.


How do you convert area into perimeter?

You can't: there are many different shapes with the same area that have different perimeters. For example, if you have an area of 100, the figure could be a 10 by 10 square (with a perimeter of 40), a 20 by 5 rectangle (with a perimeter of 50), or even a circle with a radius of about 5.64, and a perimeter of about 35.44. You might be able to figure out the perimeter if you know something about the shape. If you know it's a square, for example, then the perimiter is 4 times the square root of the area. It's also interesting to note that of all shapes with the same area, the one with the smallest perimeter will be a circle. This is why soap bubbles are round: their contents are fixed, but surface tension makes the bubble "try" to minimize the perimeter.


What is a congruant shape?

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


How do you find the perimeter and area of an irregular shape?

You break it up into smaller shapes which are less irregular. If these are more regular, you can calculate their contribution to the perimeter, and their area. You can then add these together.

Related questions

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.


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.


What are 3 shapes with the same perimeter?

it means make same shapes only perimeter


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

Certainly. Infinitely many for any given area.


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.


Why cant shapes have the same area but not perimeter?

area is times the side and the top and the perimeter is adding the top bottom side and the other side


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.