Yes, two figures can have the same perimeter and different areas.
For example, take a square with a perimeter of 16 units. This means that each side is 4 units, and its area is 16 units squared.
Now, take a rectangle with width of 7 units and length of 1 unit. The perimeter of this figure is still 16 units ( (7 x 2) + (1 X 2) ), but its area is 7 units ( 7 x 1 ).
This is only a basic example of the application of this problem.
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Yes.
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.
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Because the area is different than the perimeters
Yard is a measure of length; there is no standard conversion to area. Different figures of the same length, or of the same perimeter, can have different areas.