Final answer:
To determine the new width of an enlarged photograph, we maintain the aspect ratio of the original photograph. Multiplying the original width by the ratio of the new height to the original height gives us the new width, which is approximately 11.67 inches.
Step-by-step explanation:
If a photograph is 3 inches high and 5 inches wide, and it is enlarged to be 7 inches high, we need to calculate the new width while keeping the same aspect ratio. To find the new width, we use the proportionality between the first and second height and width:
- Original height : Original width = Enlarged height : Enlarged width
- 3 : 5 = 7 : Unknown width (W)
To find W, we cross multiply:
- 3/5 = 7/W
- 3 × W = 5 × 7
- W = (5 × 7) / 3
- W = 35 / 3
- W = 11.67 inches
Therefore, when the photograph is enlarged to be 7 inches high, it will be approximately 11.67 inches wide.