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

the answer in 18 yards

Explanation:

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

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:

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Answer 2

The area of the actual playground is
`54\ yd^(2)`

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)=(x)/(y)`

we have

`z=3`

`y=6\ yd^(2)`

substitute and solve for x

`3^(2)=(x)/(6)`

`x=9*6=54\ yd^(2)`