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A square has side length of 16.5 in. If the area is multiplied by 9, what happens to the side length?

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Answer:

The side length is multiplied by the scale factor of 3, which makes it 49.5

Explanation:

The scale factor goes as follows

length : scale factor

area: scale factor squared

Volume : scale factor cubed

Since we increased the area by 9, that would be the scale factor squared

Take the square root of 9, which is 3, and that is the scale factor

We want to know what happens to the length

It is multiplied by the scale factor

16.5*3 = 49.5

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