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No it does not
The perimeter of a shape does not determine its area. The shape can be made thinner without changing its perimeter but reducing its area.
The perimeter of a shape does not determine its area. The shape can be made thinner without changing its perimeter but reducing its area.
If, by changing the size of the squares you mean increasing the length of the side by some multiple, then the perimeter increases in direct proportion to the length of the side while the area increases in direct proportion to the square of the side. If, by changing the size of the the squares you mean increasing the length of the side from x units by some fixed small amount, dx units, then the perimeter will increase by 4*dx while the area will increase by 2*x*dx
Doubling the width of a rectangular rug will affect the perimeter because the total length and width will be doubled. The area will be twice the length times the width.