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It really depends on the shape. Different shapes have different relationships between perimeter and area. For similar shapes, the perimeter will increase linearly with the diameter, length, or any other linear measure, while the area will increase with the square of any linear measure. For example, if one square has ten times the side-length of another, its perimeter will also be ten times longer; but its area will be 100 times larger.

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Q: How are the perimeter and area of a shape related?
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