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7.

Van Gogh’s painting Starry Night measures 92 cm long by 73 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 120 cm long by 100 cm high. The second poster measures 138 cm long by 109.5 cm high. Which of the following is true? (Hint: To be an accurate representation of the painting, would the the poster be similar to the painting?)

1 answer

To determine if the posters are similar to Van Gogh's "Starry Night," we need to compare the aspect ratios (the ratio of height to width) of each poster with that of the original painting.

  1. Calculate the aspect ratio of the original painting:

    • Length = 92 cm
    • Height = 73 cm
    • Aspect Ratio (Original) = Height / Length = 73 cm / 92 cm = 0.7935 (approximately)

  2. Calculate the aspect ratio of the first poster:

    • Length = 120 cm
    • Height = 100 cm
    • Aspect Ratio (First Poster) = Height / Length = 100 cm / 120 cm = 0.8333 (approximately)

  3. Calculate the aspect ratio of the second poster:

    • Length = 138 cm
    • Height = 109.5 cm
    • Aspect Ratio (Second Poster) = Height / Length = 109.5 cm / 138 cm = 0.7920 (approximately)

Now, we can analyze these ratios:

  • Original painting aspect ratio: ~0.7935
  • First poster aspect ratio: ~0.8333
  • Second poster aspect ratio: ~0.7920

Conclusion:

  • The aspect ratio of the first poster (0.8333) is different from the aspect ratio of the original painting (0.7935), indicating that it is not similar.
  • The aspect ratio of the second poster (0.7920) is very close to that of the original painting (0.7935), which suggests that it is more similar.

Final Answer: The second poster is similar to Van Gogh's painting, while the first poster is not.