Question

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 Noah apply to Polygon P to create Polygon Q?

Answer 1

Answer:

The scale factor is 3

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

x -----> area of polygon Q

y ----> area of polygon P

so

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

we have

$y=5\ units^2$

Find the area of polygon Q

Divide the polygon Q into five squares

see the attached figure N 2

The area of polygon Q (area of the  five squares)  is

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

Find the scale factor

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

we have

$x=45\ units^2$

$y=5\ units^2$

substitute

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

$z^{2}=9$

square root both sides

$z=3$

therefore

The scale factor is 3

Answer 2

Answer:

3 is the answer

Step-by-step explanation: