Find the perimeter of the preimage, the original square, before its dilation.

Question

A square with a perimeter of 54 units is the image of a square that was dilated by a scale factor of 3/2. Find the perimeter of the preimage, the original square, before its dilation. Round your answer to the nearest tenth, if necessary.

Answer 1

Perimeter (image) = k × Perimeter (original)

where:

1. k is the scale factor = 3/2
2. Perimeter (image) = 54 units

Plug in the given values and solve for Perimeter (original).