Find the length of a rectangular cell phone screen with an aspect ratio of 16:9 whose diagonal measure is 127mm

Question

asked Oct 10, 2021 110k views

2 Answers

Steve Wilkes · Answer 1 · 2021-10-15T02:43:44+0000

Answer:

The length is 110.4 mm and the width is 62.1 mm.

Explanation:

The ratio of the length to the width of the phone screen is 16:9.

Hence, let us say that the length of the screen is 16x and the width is 9x.

Due to the screen having 90 degree corners, we can apply the Pythagorean theorem to say that:

$\sqrt{(16x)^(2) + (9x)^(2)} = 127 mm$

$\sqrt{256x^(2) + 81x^(2)} = 127 mm$

$\sqrt{337x^(2)} = 127 mm$

337x^(2) = 127^(2) mm

x^(2) = (16129)/(337)

x = 6.9

Hence, the length is 110.4 mm and the width is 62.1 mm.

Hope this helped!