Answer:
[tex]Perimeter = 180in[/tex]
Step-by-step explanation:
Given
[tex]AD = 4[/tex]
[tex]WZ = 6[/tex]
Perimeter of ABCD = 120
Required
Determine the perimeter of WXYZ
Since ABCD is similar to WXYZ;
First we calculate the scale of dilation from ABCD to WXYZ
[tex]Scale = \frac{WZ}{AD}[/tex]
[tex]Scale = \frac{6}{4}[/tex]
[tex]Scale = 1.5[/tex]
The perimeter of WXYZ is then calculated as follows;
Perimeter = Scale * Perimeter of ABCD
[tex]Perimeter = 1.5 * 120in[/tex]
[tex]Perimeter = 180in[/tex]
Hence, the perimeter of WXYZ is 180 inches
