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

User Romes
by
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1 Answer

3 votes

Answer:

25 times

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.

User Siran
by
7.6k points

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