Question

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?

Answer 1

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

$3^{2}=\frac{x}{6}$

$x=9*6=54\ yd^{2}$

Answer 2

Answer:

the answer in 18 yards

Step-by-step explanation:

if the actual area is 6 then you enlarge it by 3 would make it 18

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