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[/img]

A typical aspect ratio for photos is [math]4:3[/math]. Here’s a rectangle with a [math]4:3[/math] aspect ratio. [br][br][img]data:image/png;base64,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[/img][br]What does it mean that the aspect ratio is [math]4:3[/math]?

What is the length of the longer side?

What is the length of the rectangle’s diagonal?

If the diagonal of the [math]4:3[/math] rectangle measures 10 inches, how long are its sides?

If the diagonal of the [math]4:3[/math] rectangle measures 6 inches, how long are its sides?

[size=150][size=100]Before 2017, a smartphone manufacturer’s phones had a diagonal length of 5.8 inches and an aspect ratio of [math]16:9[/math]. In 2017, they released a new phone that also had a 5.8-inch diagonal length, but an aspect ratio of  [math]18.5:9[/math]. 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? Space is provided below if needed.[/size][/size]