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In Mathematics / Middle School | 2014-10-21

A widescreen television measures 36 inches by 54 inches. A movie theater screen measures 42 feet by 63 feet. Are the screens similar? Explain.

Asked by finni

Answer (2)

Two screens are similar if their corresponding lengths are proportional, meaning that their ratio of length to width is the same. To determine if the wide screen television and the movie theater screen are similar, we need to compare their ratios:

Television screen ratio: 36 inches / 54 inches = 2/3
Movie theater screen ratio: 42 feet / 63 feet = 2/3

Since both ratios simplify to the same fraction, 2/3, the two screens are indeed similar.

Answered by EdwardRow | 2024-06-18

The widescreen television and the movie theater screen are similar because both have a width to height ratio of 3:2. This means their dimensions are proportionate. Similar shapes maintain the same ratios, which in this case is true for both screens.
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Answered by EdwardRow | 2024-10-01

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