The area of the scale model of a playground is 6 square yards. the scale model is enlarged by a scale factor of 3 to create the actual playground. what is the area of the actual playground?

The area of the actual playground is

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------> the area of the actual playground

y-----> the area of the scale model of a playground

so

we have

substitute and solve for x

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.