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That should not surprise you. Here's a thought that might make you more comfortable with it:
-- Take a good sized piece of string.
Tie the ends together.
-- Now you have a big limp loop.
Drop it down on the ground.
-- How many different shapes can you make out of it ? A square ? A circle ?
Different short fat rectangles ? Triangles ? Different long skinny rectangles ?
Odd-ball shapes with 9 sides or 17 sides ? Shapes with some straight sides
and some curved sides ?
You can push the string loop around into millions of different shapes. The string loop
is the perimeter of every one of them.
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How to convert perimeter feet into acres?
You can't. Different shapes with the same perimeter may have different areas.
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 are 3 shapes with the same perimeter?
it means make same shapes only perimeter
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can shapes with the same area have different perimeter?
yes they can
How to convert perimeter feet into acres?
You can't. Different shapes with the same perimeter may have different areas.
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 different shapes has the same perimeter?
Any plane shape can have the same perimeter as any other plane shape.
What are 3 shapes with the same perimeter?
it means make same shapes only perimeter
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 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 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.
Can different shapes have the same perimeter?
Yes. Ex: A 5"x4" rectangle has the same perimeter as an equilateral triangle with sides 6" long.
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.
