Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor = [tex]\frac{\text{Side length of image}}{\text{Side length of preimage}}[/tex]
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor = [tex]\frac{\text{Area of the image}}{\text{Area of the preimage}}[/tex]
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
