A rectangle that is 6 feet by 9 feet has been scaled by a factor of 1/3.

1. What are the side lengths of the scaled copy? feet by feet

2. Suppose you want to scale the copy back to its original size. What scale factor should you use?



Answer :

The side lengths of the scaled copy are 2 feet by 3 feet and  to scale the copy back to its original size, the scale factor to use is 3

1. What are the side lengths of the scaled copy? feet by feet

The given parameters are:

Length = 6 feet

Width = 9 feet

The scale factor is given as:

k = 1/3

So, the side lengths of the scaled copy are

Length = 1/3 * 6 feet = 2 feet

Width  = 1/3 * 9 feet = 3 feet

Hence, the side lengths of the scaled copy are 2 feet by 3 feet

2. Suppose you want to scale the copy back to its original size. What scale factor should you use?

In (1), we have:

The scale factor is given as:

k = 1/3

To scale the copy back to its original size, the scale factor to use is:

Scale = 1/(1/3)

Evaluate

Scale = 3

Hence, to scale the copy back to its original size, the scale factor to use is 3

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