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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.

Q: Is it possible for two shapes to have the same area but different perimeters?

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Absolutely.

There is not a single perimeter associated to a given area. You can have different perimeters, depending on the shape.

If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.

You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10

That depends on the shape of the area. You can have different shapes that have the same area, but a different circumference.

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Because the area is different than the perimeters

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.

The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.

The area doesn't tell you the perimeter. There are an infinite number of shapes and sizes, all with different dimensions and perimeters but the same area.

Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is.

It is possible for to shapes to have the same area but different perimeters because, for example, one shape could be a 2 by 4 rectangle and another shape be a 1 by 8 rectangle. Both shapes have an area of 8 (2*4=8 and 1*8=8) but the 2 by 4 has a perimeter of 12 (2+2+4+4=12) but the 1 by 8 rectangle has an area of 18 (1+1+8+8=18).

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There is no perimeter of a circle. Only flat shapes have perimeters. You can however, find the circumference, surface area, and volume.

Absolutely.

they are different because perimeter is the out side of the shape and area is inside of the shape.

That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.