The screen size of a television is determined by the length of the diagonal of the rectangular screen. traditional elevisions come in a 4: 3 format, meaning the ratio of the length to width of the screen is 4 to 3

what is the area of a 17in traditional tv screen? what is the area of a 17in lcd tv whose screen is in 16: 9 format? which screen is bigger?

the area of a 17 inch traditional tv is approximately sq inches

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(do not round until the final answer. then round one decimal place as needed)

Explanation:

1. What is the area of a 17in traditional tv screen?

a) Measure of the diagonal = 17 in

b) The diagonal is the hypotenuse of a triangle.

c) Call x and y the length and the width of the screen. Then, by Pythagora's theorem:

d) Since the ratio of the length to the width of the screen is 4:3

e) Solve the system of equations:

f) Area = x × y = 10.2 in × 13.6 in = 138.72 in²

The area of a 17 inch traditional TV is approximately 138.7 in²

2. What is the area of a 17in LCD TV whose screen is in 16:9 format?

Solve the system of equations:

Area = x × y = 14.8 in × 8.33 in = 123.28 in²

The area of a 17 inch LCD TV is approximately 123.3 in²

3. Which screen is bigger?

The screen of the 17 in traditional TV is bigger, because its area (approximately 138.7 in²) is greater than the area of the LCD TV (approximatle 123.3 in²).