If a two-dimensional shape is dilated by a factor of 13 , what is the effect on the area?
It is 1/3 as great.
It is 1/6 as great.
It is 2/3 as great.
It is 1/9 as great.
The correct answer is: It is 1/169 as great.
When a shape is dilated by a factor of 13, the linear dimensions (such as side lengths) of the shape are multiplied by 13. The area of a shape is calculated by multiplying the length by the width. In this case, since both the length and width are multiplied by 13, the area is multiplied by (13 * 13) = 169. Therefore, the area of the dilated shape is 1/169 as great as the original shape.