Two shapes can have the same area but different perimeters.

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Multiple Choice

Two shapes can have the same area but different perimeters.

Explanation:
Area is about how much space is inside a boundary, while perimeter is the length around the outside. Because these two measures come from different properties of a shape, they don’t have to match. You can enclose the same amount of space with a longer boundary or with a shorter one. For example, a square with side 4 units has area 16 square units and a perimeter of 16 units. A rectangle that also has area 16, like 2 by 8, has a perimeter of 2(2+8) = 20 units. They enclose the same area, but the total edge length is different. So the statement is true: shapes can share the same area but have different perimeters. This idea applies across many shapes, not just rectangles.

Area is about how much space is inside a boundary, while perimeter is the length around the outside. Because these two measures come from different properties of a shape, they don’t have to match. You can enclose the same amount of space with a longer boundary or with a shorter one.

For example, a square with side 4 units has area 16 square units and a perimeter of 16 units. A rectangle that also has area 16, like 2 by 8, has a perimeter of 2(2+8) = 20 units. They enclose the same area, but the total edge length is different.

So the statement is true: shapes can share the same area but have different perimeters. This idea applies across many shapes, not just rectangles.

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