Final answer:
The area of a 4x4 square is 16 square feet. The area of similar figures is related by the square of their scale factor; thus if a larger square has a side length double that of a smaller square, its area is four times greater.
Step-by-step explanation:
To calculate the area of a square with a side length of 4 feet, you use the formula for the area of a square, which is side length squared, or side × side. So, for a 4x4 square, the area is 4 feet × 4 feet, which equals 16 square feet.
In terms of applying the scale factor to the area of similar figures, keep in mind that the area ratio is the square of the scale factor.
For instance, if a smaller square has a side length of 2 inches and a similar larger square has a side length of 4 inches, the scale factor is 2 (since 4 / 2 = 2). This means the area of the larger square is 2² = 4 times larger than the area of the smaller square.
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