Answer:
Area of the image rectangle = 4(Area of the original rectangle)
Step-by-step explanation:
Length of the rectangle given in the graph = 4 units
Width of the rectangle = 2 units
Area of the rectangle = Length × Width
= 4 × 2
= 8 square units
Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]
Length of the image rectangle = 2(4)
= 8 units
Similarly, width of the image rectangle = 2(2)
= 4 units
Area of the image rectangle = 8 × 4
Area of the image = Area of the original × 4
Area of the image = 4(Area of the original)
Area of the image rectangle = 4(Area of the original rectangle)
