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alisha [4.7K]
3 years ago
6

The aspect ratio (the ratio of screen width to

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

Width = 36in

Size = 42.02

Step-by-step explanation:

Given

x \to width

y \to height

x : y = 16 : 9

Required

The size of screen of height 20,6in

First, we calculate the width using the following equivalent ratios

16: 9 = x : 20.6

Express as fraction

\frac{16}{ 9} = \frac{x }{ 20.6}

Solve for x

x = 20.6 * \frac{16}{ 9}

x = 36.62

Hence:

Width = 36in --- approximated

So, we have:

x = 36.62

y =20.6

The size (diagonal) is then calculated using:

Size = \sqrt{x^2 + y^2

Size = \sqrt{36.62^2 + 20.6^2

Size = \sqrt{1765.3844

Size = 42.02

Size =42in --- approximated

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