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3 years ago

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

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

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.

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3 years ago

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Answer:

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