Question

Bayani dilates a digital photograph by a factor of 2.25 to create a new digital photograph similar to his original photograph. Select from the drop-menus to correctly complete the statement. The perimeter of Bayani's new photograph is ( ) times larger than the perimeter of his original photograph, and the area of his new photograph is ( ) times larger than the area of his original photograph.

Answer 1

The perimeter of Bayani's new photograph is 2.25 times larger than the perimeter of his original photograph

The area of his new photograph is 5.0625 times larger than the area of his original photograph.

Solution:

Given that Bayani dilates a digital photograph by a factor of 2.25 to create a new digital photograph similar to his original photograph

Thus, scaling factor = 2.25

A scale factor is simply a number that multiplies the dimensions of a shape

If the scale factor is "x",  then the perimeter of the new object will be "x" times the original perimeter

If the scale factor is "x",  the area of the new object will be "x" squared, times the area of the original object.

Perimeter of Bayani's new photograph:

The perimeter of Bayani's new photograph is 2.25 times larger than the perimeter of his original photograph

Area of Bayani's new photograph:

The area of his new photograph is $2.25 \times 2.25$ times larger than the area of his original photograph.

Or

The area of his new photograph is 5.0625 times larger than the area of his original photograph.