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If you double the dimensions, then the perimeter is doubled. However, the area is quadrupled. For example, let's say that a side of a square is x units. The perimeter would be 4x, and the area x2. Now, let's double the dimension into 2x. Now, the perimeter is 8x, and the area is 4x2. As you can see, the perimeter is doubled and the area is quadrupled.

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Q: How does doubling the each dimension of square affect the perimeter and the area of the square?
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How does doubling the each dimension of a rectangle that is not a square affect the perimeter and the area of that rectangle?

quadruples it


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no Actually, yes. The four sides can be labeled A, B, C, D. Doubling each side gives 2A, 2B, 2C, and 2D. Factoring out the two gives the expression 2*(A+B+C+D). We recognize (A+B+C+D) as the perimeter of the square. 2*(the perimeter of the square) is twice the perimeter of the square.


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