8.5.1: When Is the Same Size Not the Same Size?
- Page ID
- 37753
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Lesson
- Let's figure out how aspect ratio affects screen area.
Exercise \(\PageIndex{1}\): Three Figures
How are these shapes the same? How are they different?
Exercise \(\PageIndex{2}\): A \(4:3\) Rectangle
A typical aspect ratio for photos is \(4:3\). Here's a rectangle with a \(4:3\) aspect ratio.
- What does it mean that the aspect ratio is \(4:3\)? Mark up the diagram to show what that means.
- If the shorter side of the rectangle measures 15 inches:
- What is the length of the longer side?
- What is the length of the rectangle’s diagonal?
- If the diagonal of the \(4:3\) rectangle measures 10 inches, how long are its sides?
- If the diagonal of the \(4:3\) rectangle measures 6 inches, how long are its sides?
Exercise \(\PageIndex{3}\): The Screen Is that Same Size \(\ldots\) or is it?
Before 2017, a smart phone manufacturer’s phones had a diagonal length of 5.8 inches and an aspect ratio of \(16:9\). In 2017, they released a new phone that also had a 5.8-inch diagonal length, but an aspect ratio of \(18.5:9\). Some customers complained that the new phones had a smaller screen. Were they correct? If so, how much smaller was the new screen compared to the old screen?