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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.

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

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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.

Because the area is different than the perimeters

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.

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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).

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.

Yes - even shapes with different area.

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