Question

If the scale factor is 5, how many times larger will the scaled copy's area be?

Answer 1

Answer:

25 times

Step-by-step explanation:

Scale factor is the ratio of dimensions of the image and the preimage.

Scale factor = $\frac{\text{Side length of image}}{\text{Side length of preimage}}$

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 = $\frac{\text{Area of the image}}{\text{Area of the preimage}}$

                             = (Scale factor)²

                             = 5²

                             = 25

Therefore, area of the image will be 25 times the area of the preimage.