Question

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?

Answer 1

99

Explanation:

Khan

Answer 2

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