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What is the relationship between the perimeter and area when area is fixed?
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
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 is another term for infinite solutions?
There is no such term. It could be a line, a curve, a finite or infinite area in space with any number of dimensions.
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.
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.
