Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did

Question

3 months ago

7

Noah apply to Polygon P to create Polygon Q?

2 answers:

babunello [11.8K] · Answer 1 · 2026-02-22T12:26:23+03:00

Answer:

The scale factor equates to 3.

Detailed explanation:

Please refer to the provided image for clarity regarding this issue.

We know that

If two shapes are similar, then the ratio of their areas corresponds to the square of the scale factor.

Let

z -----> scale factor

x -----> area of polygon Q

y ----> area of polygon P

Thus, we have

$z^{2}=\frac{x}{y}$

so, we proceed with

$y=5\ units^2$

Determining the area of polygon Q

The polygon Q can be divided into five distinct squares.

Refer to the additional figure N 2.

The area of polygon Q, which represents the total area of the five squares, is

$x=5(3^2)=45\ units^2$

Calculating the scale factor

$z^{2}=\frac{x}{y}$

Thus, we derive

$x=45\ units^2$

$y=5\ units^2$

By substituting the values, we find

$z^{2}=\frac{45}{5}$

$z^{2}=9$

Taking the square root of both sides results in

$z=3$

Thus,

The scale factor resolves to 3.

Svet_ta [12.7K] · Answer 2 · 2026-02-22T12:26:52+03:00

5 0

Answer:

The answer is 3.

Detailed explanation: