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Q: Can two parallelograms have the same perimeter but different areas?

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You can't. Different shapes with the same perimeter may have different areas.

Given any shape with a given area you can another shape with the same area but a different perimeter. And convesely, given any perimeter you can have another shape with the same perimeter but a different area. And these apply for the infinite number of shapes.

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.

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.

yes, for example:a 4 by 5 rectangle has an area of 20 and a perimeter of 18a 2 by 7 rectangle has an area of 14 and a perimeter of 18yes, for example:

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.

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.

No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.

Begs the question: Same perimeter as what? There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...

For example, a 1x15 rectangle and a 2x14 rectangle. They both have perimeter of 32, but they have areas of 15 and 28, respectively.

10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2

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.

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