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Can you help me with my Math, please?



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 poster be similar to the painting?)


Both posters are not accurate representations of the painting.


The first poster is an accurate representation of the painting, but the second poster is not an accurate representation.


The first poster is not an accurate representation of the painting, but the second poster is an accurate representation.


Both posters are accurate representations of the painting.

Respuesta :

The first poster is not an accurate representation of the painting, but the second poster is an accurate representation because the ratio between the first and original lengths did not equal the ratio between the first and original widths but the second poster's ratios were equal.

Answer:

Option C is the correct answer.

Step-by-step explanation:

The original painting dimensions are = 92 cm long by 73 cm high

The first poster measures 120 cm long by 100 cm high.

Lets check the ratio.

[tex]\frac{120}{92}[/tex] by [tex]\frac{100}{73}[/tex] This reduces to nowhere.

The second poster measures 138 cm long by 109.5 cm high.

Ratio is : [tex]\frac{138}{92}[/tex] by [tex]\frac{109.5}{73}[/tex]

This reduces to 1.5 by 1.5

Therefore we can say - The first poster is not an accurate representation of the painting, but the second poster is an accurate representation.

The ratio defines it all. The ratio of the first poster to original picture is not accurate but the ratio of second one is accurate.