if a two dimensional shape is dilated by a factor of 1/3, what is the effect on the area? (1 point)

1 answer

The area of a two-dimensional shape is directly proportional to the square of its linear dimensions.

In this case, if the shape is dilated by a factor of 1/3, it means that all linear dimensions (length and width) will be multiplied by 1/3.

Thus, the area will be multiplied by (1/3)^2 = 1/9.

Therefore, the new area will be 1/9 of the original area.