Answer:
Option D
Step-by-step explanation:
Formula to be used,
Scale factor = [tex]\frac{\text{Dimension of the image rectangle}}{\text{Dimension of the original}}[/tex]
By this formula,
[tex]\frac{7}{2}=\frac{\text{Length of the dilated rectangle}}{\text{Length of the original rectangle}}[/tex]
[tex]\frac{7}{2}=\frac{L}{22}[/tex]
L = [tex]\frac{7\times 22}{2}[/tex]
= 77 inches
Similarly, width of the the dilated rectangle = [tex]\frac{7}{2}\times 10[/tex]
= 35 inches
Perimeter of the new rectangle = 2(Length + width)
= 2(77 + 35)
= 224 inches
Option (D) will be the correct option.
