Question

The square below is the image of a square that was dilated by a scale factor of start fraction, 3, divided by, 2, end fraction
2
3
​
. Find the area of the preimage, the original square, before its dilation. Figures are not necessarily drawn to scale.
30
Answer
Attempt 1 out of 2

units, squared units
2

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Answer 1

If the given square (side 30) is the image after a dilation by scale factor 2/3, then the original side length = 30 ÷ (2/3) = 30·(3/2) = 45.
Area of the preimage = 45^2 = 2025 square units.