A rectangle with a perimeter of 48 units is the image of a rectangle that was dilated by a scale factor of start fraction, 3, divided by, 2, end fraction
2
3
. Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
To find the perimeter of the original rectangle before dilation, we need to reverse the dilation process.
Given that the image rectangle has a perimeter of 48 units and was dilated by a scale factor of 3/2, it means that the original rectangle was reduced by 2/3.
Let P be the perimeter of the original rectangle.
Then, 2/3 * P = 48
Solving for P:
P = 48 * 3/2
P = 72
Therefore, the perimeter of the original rectangle before its dilation was 72 units.