If the area of polygon p is 72 square units, what is the scaled factor did deigo use to go from p to q?

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 i 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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