Aubs has a photo that is 4 inches wide by 6 inches long. She wants to enlarge its length to 30 inches. What should the width be in order to keep the new photo proportional?
30/6 = 5, so
4:6 = 4*5 : 6*5 = 20:30
30/6 = 5.
So the length was multiplied by 5; therefore, the width must be multiplied by
5 also.
To determine the width of the photo after enlarging its length while keeping the proportions the same, we need to use the concept of ratios.
First, let's find the ratio of the original length to the original width. We can do this by dividing the length by the width: 6 inches / 4 inches = 1.5.
This ratio represents the relationship between the length and width of the photo. To keep the proportions the same, we need to make sure that the new photo maintains this ratio.
Since the new length is 30 inches, we can use the ratio to find the new width. Multiply the new length (30 inches) by the ratio (1.5): 30 inches * 1.5 = 45 inches.
Therefore, in order to keep the new photo proportional, the width should be 45 inches.