length and width of a 3ln. x 5jn. photo are tripled what scale factor relates the areas choices are 3,9,12,27 i chose 3 because it said triple is that right

To determine the scale factor that relates the areas of the original and enlarged photo, let's break down the steps:

1. Start by finding the area of the original photo using its length and width. Multiply the length by the width:
Area of the original photo = length * width = 3 in. * 5 in. = 15 square inches.

2. Triple both the length and width to find the dimensions of the enlarged photo:
Enlarged length = 3 * 3 in. = 9 in.
Enlarged width = 3 * 5 in. = 15 in.

3. Calculate the area of the enlarged photo by multiplying the new length by the new width:
Enlarged area = enlarged length * enlarged width = 9 in. * 15 in. = 135 square inches.

4. Finally, determine the scale factor by dividing the enlarged area by the original area:
Scale factor = enlarged area / original area = 135 square inches / 15 square inches = 9.

Based on the calculations, the correct scale factor that relates the areas of the original and enlarged photo is 9. So, 9 is the correct choice from the given options.