Question

8 numeric. 1 point quadrilateral duke was transformed by the rule (x,y)→(3x,3y) to form duke. if the perimeter of duke was 14, what is the perimeter of duke? answer

Explanation:

Step1: Identify the scale - factor

The transformation rule $(x,y)\to(3x,3y)$ is a dilation with a scale - factor of 3.

Step2: Use the property of perimeter under dilation

When a figure is dilated by a scale - factor $k$, the perimeter of the new figure is $k$ times the perimeter of the original figure. Here, $k = 3$ and the original perimeter $P_1=14$.
The new perimeter $P_2=k\times P_1$.
$P_2 = 3\times14$

Answer:

42