A photo is 6 in wide and 3 in tall. If it is reduced to a height of 1 in, then how wide will it be?
1/3 * 6 = 2 inches
To find out the new width of the photo when its height is reduced to 1 inch, we can use the concept of proportional relationships.
The given photo is 6 inches wide and 3 inches tall. Let's label the original width as W and the original height as H.
According to the given information, we have:
W = 6 inches (original width)
H = 3 inches (original height)
Now, let's calculate the ratio of the original width to the original height:
Ratio = W/H
Ratio = 6 inches/3 inches
Ratio = 2 inches/inch
This means that for every 1 inch decrease in height, the width decreases by a factor of 2.
Since the height is reduced to 1 inch, we need to find the new width. Let's label the new width as W'.
Using the proportional relationship, we can set up the following equation:
W/H = W'/1
Substituting the values we have:
2 inches/inch = W'/1
Multiplying both sides of the equation by 1 inch gives:
2 inches = W'
Therefore, when the height is reduced to 1 inch, the width of the photo will be 2 inches.