Answer:
Option (3)
Step-by-step explanation:
Scale factor by which the rectangle given in the picture is enlarged = 7.5
Since, scale factor = [tex]\frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}[/tex]
7.5 = [tex]\frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}[/tex]
7.5 = [tex]\frac{L}{8}[/tex]
Length of the dilated rectangle = 7.5×8
= 60 cm
Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle
= 7.5 × 6
= 45 cm
Now area of the dilated rectangle = Length × width
= 60 × 45
= 2700 cm²
Perimeter of the dilated rectangle = 2(length + width)
= 2(60 + 45)
= 2(105)
= 210 cm
Therefore, Option (3) will be the correct option.
