Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z. What is the area of Polygon Z?

Question

asked Apr 12, 2020 161k views

2 Answers

Anil Singhania · Answer 1 · 2020-04-18T03:10:01+0000

Answer:

The area of polygon Z is 99 square units

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 ----> area of polygon Z

y ----> area of polygon Y

z^(2)=(x)/(y)

we have

z=3

$y=11\ units^2$

substitute and solve for x

3^(2)=(x)/(11)

$x=9(11)\\x=99\ units^2$

so

The area of polygon Z is 9 times the area of polygon Y

The area of polygon Z is 99 square units