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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?

Respuesta :

calculista

Answer:

The area of the actual playground is [tex]54\ yd^{2}[/tex]

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

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=3[/tex]

[tex]y=6\ yd^{2}[/tex]

substitute and solve for x

[tex]3^{2}=\frac{x}{6}[/tex]

[tex]x=9*6=54\ yd^{2}[/tex]

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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