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## #1 2023-11-15 03:37:03

sologuitar
Member
Registered: 2022-09-19
Posts: 467

### Comparing Television Screen Size

The screen size of a TV is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 yo 3.

A. What is the area of a 37-inch traditional TV screen?

B. What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format. Which screen is bigger?

HINT: If x is the length of a 4 : 4 format screen, then (3/4)x is the width.

Let me see.

Use a^2 + b^2 = c^2

x^2 + (3x4/)^2 = (37)^2

LCD TV

Use a^2 + b^2 = c^2

x^2 + (9x/16) = (37)^2

Is any of this correct?

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## #2 2023-11-15 04:03:26

amnkb
Member
Registered: 2023-09-19
Posts: 253

### Re: Comparing Television Screen Size

sologuitar wrote:

The screen size of a TV is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 yo 3.

A. What is the area of a 37-inch traditional TV screen?

B. What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format. Which screen is bigger?

part A

part B

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## #3 2023-11-16 18:17:53

sologuitar
Member
Registered: 2022-09-19
Posts: 467

### Re: Comparing Television Screen Size

amnkb wrote:
sologuitar wrote:

The screen size of a TV is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 yo 3.

A. What is the area of a 37-inch traditional TV screen?

B. What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format. Which screen is bigger?