Question

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?

Answer 1

Given data:

RSTV is a square.

Side, RS = 12cm

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

$RS=12\times3$$RS\text{ = 36cm}$

Now, perimeter of square is

$P\text{ = RS }\times4$$\begin{gathered} P\text{ = 36}\times4 \\ \text{ =144cm} \end{gathered}$

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