Answer:
The area of the actual playground is \(54\ yd^{2}\)
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
\(z^{2}=\frac{x}{y}\)
we have
\(z=3\)
\(y=6\ yd^{2}\)
substitute and solve for x
\(3^{2}=\frac{x}{6}\)
\(x=9*6=54\ yd^{2}\)
