Final answer:
To find the side lengths of a TV with a 16:9 aspect ratio, assume a width that is a multiple of 16 for easier calculation. Multiply the chosen width by the fraction 9/16 to find the height. For a width of 160 inches, the height would be 90 inches, both satisfying the 16:9 ratio.
Step-by-step explanation:
The aspect ratio of a widescreen TV is given as 16:9, representing the width to height. Although the actual side lengths are not provided, we can assume any numbers that maintain this ratio. For example, if we choose a width (W) of 160 inches (to make calculations simpler), the height (H) would be:
Width to Height Ratio = W:H = 16:9
To find H, we can set up a proportion:
(16/9) = (W/H)
Substitute W = 160 inches:
(16/9) = (160/H)
Solving for H we get:
H = (9/16) * 160 = 90 inches
Therefore, the TV would have a width of 160 inches and a height of 90 inches, which are in the 16:9 ratio. Remember to round to the nearest 10ths place if needed, but in this case, both the width and height are whole numbers.