GRE General TestQuantitative ReasoningMedium
A photography studio is resizing an image. The original image has dimensions of 1200 pixels by 800 pixels. If they want to print it on a poster that is 30 inches wide, and maintain the aspect ratio, what will be the height of the poster in inches?
- A20 inches
- B45 inches
- C25 inches
- D15 inches
Show answer & explanationAnswer & explanation
Correct answer: A. 20 inches
The aspect ratio of the original image is width/height = 1200/800 = 3/2. To maintain this ratio for the poster, 30/height = 3/2. Cross-multiply: 3 * height = 30 * 2. 3 * height = 60. Height = 20 inches.
Why the other options are wrong
- B. This would be the height if the ratio was inverted (800/1200 = 2/3) and applied incorrectly.
- C. This is incorrect, possibly due to a miscalculation or incorrect ratio setup.
- D. This is incorrect; it might result from an inverted ratio or calculation error.
Aspect Ratio Scaling
Aspect ratio is the proportional relationship between an image's width and its height. Scaling while maintaining aspect ratio means both dimensions change by the same factor.
- Aspect Ratio = Width / Height.
- To maintain aspect ratio, the ratio of new width to new height must equal the ratio of original width to original height.
- Can be used to find a missing dimension when one new dimension is given.
Memory trick: Keep the ratio constant, old and new.