Question

camille dilates a digital photograph by a factor of 1.25 to create a new digital photograph similar to her original photograph.
select from the drop - menus to correctly complete the statement.
the perimeter of camilles new photograph is choose.. times larger than the perimeter of her original photograph,
and the area of her new photograph is choose.. times larger than the area of her original photograph.

Explanation:

Step1: Perimeter ratio

For similar figures, if the scale factor of dilation is \(k\), the ratio of perimeters is equal to the scale factor. Here, \(k = 1.25\).

Step2: Area ratio

For similar figures, if the scale factor of dilation is \(k\), the ratio of areas is \(k^{2}\). Since \(k=1.25\), then \(k^{2}=(1.25)^{2}= 1.5625\)

Answer:

The perimeter of Camille's new photograph is \(1.25\) times larger than the perimeter of her original photograph, and the area of her new photograph is \(1.5625\) times larger than the area of her original photograph.