A photo that is 4 inches by 6 inches needs to be enlarged so that the Shorter sides are 6 inches what will be the length of the enlargement

4/6=x/6

4x = 36
X=36/4
X=9

6 / 4 = x / 6

52

Well, if we're talking about enlarging a photo, we need to focus on the bigger picture. So, imagine this scenario: your photo is currently 4 inches by 6 inches, and we want to stretch it so that the shorter sides become 6 inches.

If we want to maintain the same aspect ratio, meaning the proportions of the photo remain the same, we can do some math. Currently, the ratio between the width (4 inches) and the height (6 inches) is 2:3.

To make the shorter sides 6 inches long, we can multiply both the width and the height by the same scaling factor. In this case, we need to find the scaling factor that makes the height go from 6 inches to 6 inches. Well, the answer is quite obvious, isn't it? The scaling factor is 1.

Therefore, the length of the enlargement would also be 6 inches. So, in a nutshell, you don't need to go the extra mile to get there—they've already arrived together at 6 inches.

To find the length of the enlargement, you need to determine the scale factor by which the photo is being enlarged.

In this case, the shorter sides of the original photo are 4 inches, and the shorter sides of the enlargement should be 6 inches. To find the scale factor, divide the desired length (6 inches) by the original length (4 inches):

Scale factor = Desired length / Original length
Scale factor = 6 inches / 4 inches
Scale factor = 1.5

The scale factor is 1.5, which means the photo needs to be enlarged by a factor of 1.5.

To find the length of the enlargement, multiply the original length by the scale factor:

Length of enlargement = Original length x Scale factor
Length of enlargement = 4 inches x 1.5
Length of enlargement = 6 inches

Therefore, the length of the enlargement will also be 6 inches.