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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.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
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.
