Question

Saquina dilates a digital photograph by a factor of 1.75 to create a new digital photograph similar to her original photograph. Select from the drop-menus to correctly complete the statement. The perimeter of Saquina's new photograph is( ) times larger than the perimeter of her original photograph, and the area of her new photograph is( )times larger than the area of her original photograph.

Answer 1

The perimeter is 1.75 times as large as the original.

The area is 1.75² = 3.0625 times as large as the original.

Explanation:

Linear measures—such as length, width, diameter, perimeter, circumference, height—are all related to the original by the scale factor.

2-dimensional measures—area—are related to the original by the 2nd power (square) of the scale factor.

3-dimensional measures—volume—are related to the original by the 3rd power (cube) of the scale factor.