A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, , and the corresponding side length in the sealed copy, s, can be represented by the equation . What is the seale factor from the original figure to the scalexl copy?

Answer stleaptiont of a

Solinil Amost

Ask by Wade Tyler. in the United States

Jan 23,2025

Question

A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, , and the corresponding side length in the sealed copy, s, can be represented by the equation . What is the seale factor from the original figure to the scalexl copy?

Answer stleaptiont of a

Solinil Amost

Ask by Wade Tyler. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

To find the scale factor from the original figure to the scaled copy, we can analyze the given equation:

$$
s = \frac{11}{2} f
$$

Here, $$ s $$ represents the side length of the scaled copy, and $$ f $$ represents the side length of the original figure. The scale factor is the ratio of the side length of the scaled copy to the side length of the original figure.

The scale factor $$ k $$ can be expressed as:

$$
k = \frac{s}{f}
$$

Substituting the expression for $$ s $$ from the equation into this formula gives:

$$
k = \frac{\frac{11}{2} f}{f}
$$

Now, we can simplify this expression:

$$
k = \frac{11}{2}
$$

Thus, the scale factor from the original figure to the scaled copy is:

$$
\frac{11}{2}
$$

This means that each side length of the scaled copy is $$ \frac{11}{2} $$ times the corresponding side length of the original figure.
The scale factor from the original figure to the scaled copy is $$ \frac{11}{2} $$.

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