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

1/4 the area

Explanation:

Hope this helps!

Answer 2

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

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) =(x)/(y)`

In this problem we have

`z=(1)/(2)`

substitute

`((1)/(2))^(2) =(x)/(y)`

`((1)/(4)) =(x)/(y)`

`x=(1)/(4)y`

therefore

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