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Given square RSTV, where RS=12 cm. If square RSTV is dilated by a scale factor of 3 about a given center, what is the perimeter, in centimeters, of the image of RSTV after the dilation?

Given square RSTV where RS12 cm If square RSTV is dilated by a scale factor of 3 about a given center what is the perimeter in centimeters of the image of RSTV class=

Respuesta :

Given data:

RSTV is a square.

Side, RS = 12cm

If square is dilated by a scale factor of 3 about a given centre then,

[tex]RS=12\times3[/tex][tex]RS\text{ = 36cm}[/tex]

Now, perimeter of square is

[tex]P\text{ = RS }\times4[/tex][tex]\begin{gathered} P\text{ = 36}\times4 \\ \text{ =144cm} \end{gathered}[/tex]

Thus, the correct option is (3) that is 144cm

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