Help to find the area of both TV's

Question

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

LCD is________ " "

(Do not round until the final answer. Then round one decimal place as needed)​

I started and I have 289 for the traditional is that correct

Answer 1

Traditional is closer to 139 sq in. (138.72 sq in, h=10.2in, w=13.6in)

To get those values of h & w, you need to solve two equations in two unknowns:

h² + w² = 17² = 289 (1)

and

h = (3/4)w (2)

For the 16:9 ratio, the 2nd equation is h = (9/16)w

For a given diagonal value, the more square-like the TV, the larger the area will be, so the traditional 4:3 will have a larger area.