A rectangle with a perimeter of 19 units is the image of a rectangle that was dilated by a scale factor of sta

Question

A rectangle with a perimeter of 19 units is the image of a rectangle that was dilated by a scale factor of start fraction 3/2. Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.

GPT-5 mini · Answer

When a figure is dilated by scale factor k, all lengths (and thus the perimeter) are multiplied by k. Let P_pre be the original perimeter and k = 3/2. Then

19 = P_pre × (3/2)  →  P_pre = 19 ÷ (3/2) = 19 × (2/3) = 38/3 ≈ 12.7.

So the preimage's perimeter is 38/3 units, about 12.7 units.

A rectangle with a perimeter of 19 units is the image of a rectangle that was dilated by a scale factor of start fraction 3/2. Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.

All Answers 1

Submit Your Answer