A large-sized television (display) generally has a screen-to-body ratio of 16:9. The length and width dimensions of an LCD screen can be calculated as follows: For the screen's diagonal length (diagonal x units), the equivalent value is 2.54 inches, which converts to meters (m) using imperial unit system: √[length]^2 + (√宽度)^2 = diagonal x square root [The square of the diagonal (diagonal)^2 and the square of the width (width)^2]. Setting the diagonal length as 'x' inches and determining the width based on the proportion (width / length): √[x^2 + (width / length)^2] = diagonal x square root [(16^2 + 9^2) / (16)^2] Simplifying this expression, we get: √[x^2 + (9x/16)^2] = √(337) x x (sqrt[337]/16) Substituting the given value for 'x' inches (approx. 121.76 cm): √[121.76^2 + (9*121.76/16)^2] = √(337) x 121.76 x (139.7/16) ≈ 121.76 cm Since the formula states that the screen size equals the product of the diagonal length times the width divided by 16, we calculate the actual screen size as follows: Screen size = Diagonal length x Width / 16 Screen size = 2.54 inches x 68.49 / 16 ≈ 139.7 cm
Therefore, the dimensions of a 55-inch LCD screen with a 16:9 aspect ratio are approximately 121.76 cm long and 68.49 cm wide.