Question

Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?

Answer 1

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

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-----> polygon q’s area

y-----> polygon p’s area

so

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

In this problem we have

$z=\frac{1}{2}$

substitute

$(\frac{1}{2})^{2} =\frac{x}{y}$

$(\frac{1}{4}) =\frac{x}{y}$

$x=\frac{1}{4}y$

therefore

Polygon q’s area is one fourth of polygon p’s area

Answer 2

Answer:

1/4 the area

Step-by-step explanation:

Hope this helps!