3. diego drew a scaled version of a polygon p and labeled it q.
if the area of polygon p is 72 square units, what scale factor
did diego use to go from p to q? explain your reasoning. answer quickly

The scale factor used to go from P to Q is 1/4

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

we have

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

Find the area of three squares (A2,A3 and A4)

Find the area of triangle 5

The area of polygon Q is

Find the scale factor

we have

substitute and solve for z

square root both sides

therefore

The scale factor used to go from P to Q is 1/4

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