Respuesta :

The dimensions that we must use in this problem, are the dimensions of the screen of a TV of 75 inches:

• W = width = 65.4" ,

,

• H = heigh = 36.8".

• The form of the TV is a rectangle, we compute the area A of the rectangle by the following formula:

[tex]A=W\cdot H=65.4in\cdot36.8in=2406.72in^2.[/tex]

• The aspect ratio r is given by the quotient of the width (W) by the height (H):

[tex]r=\frac{W}{H}=\frac{65.4in}{36.8in}=1.777.[/tex]

• The length of the TV diagonal L can be computed using Pitagoras Theorem:

[tex]L=\sqrt[]{W^2+H^2}=\sqrt[]{(65.4in)^2+(36.8in)^2}\cong75.04in.[/tex]

Answer

• width = 65.4",

,

• heigh = 36.8",

,

• area = 2406.72in²,

,

• aspect ratio = 1.777

,

• length of the diagonal = 75.04in.

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