From the information given, the vertices of the original rectangle are
A(- 9, 6)
B(- 3, 6)
C(- 3, - 6)
D(- 9, - 6)
If we dilate by a scale factor of 1/3, we would multiply each coordinate by 1/3. The new coordinates of the dilated rectangle would be
A(- 9 x 1/3, 6 x 1/3)
B(- 3 x 1/3, 6 x 1/3)
C(- 3 x 1/3, - 6 x 1/3)
D(- 9 x 1/3, - 6 x 1/3)
A'(- 3, 2)
B'(- 1, 2)
C'(- 1, - 2)
D(- 3, - 2)
The next step is to find the distance between the vertices of the rectangle. Recall, the opposite sides are equal. This means that
AB = CD
AC = BD
We would apply the formula for calculating the distance between two points which is expressed as
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