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Why is possible for two shapes to have the same area but different perimeter?
Wiki User
∙ 11y ago
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).
Wiki User
∙ 11y ago
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Can two shapes have the same perimeter?
Yes - even shapes with different area.
What is the perimeter if the area is 4785 feet?
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.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
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.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
What is the perimeter if the area is 4785 feet?
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.
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.
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
Is it possible for a shape to have the same area but different perimeter?
Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.
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.
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.
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 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.
Are there shapes with the same area but a different perimeter?
Certainly. Infinitely many for any given area.
