Respuesta :
Answer:
19 inches each I believe but I'll stand corrected if Im wrong.
Step-by-step explanation:
Answer:
Scale factor is [tex]\frac{1}{2}[/tex]
Dimension for each channel is 46 in × 38 in
Step-by-step explanation:
Given,
The original dimension of television = 92 in × 76 in
Let A represents the area of the television,
So, after splitting the screen of television into 4 channels,
The area of each channel = [tex]\frac{A}{4}[/tex]
We know that, the scale factor is equal to the square root of the ratio of areas of the figures ( new over old ),
If x represents the scale factor,
[tex]\implies x=\sqrt{\frac{A/4}{A}}=\sqrt{\frac{1}{4}}=\frac{1}{2}[/tex]
Hence, scale factor in the given situation is [tex]\frac{1}{2}[/tex]
Also, the dimension of each channel will get after multiplying each dimension of the TV by the scale factor ( i.e. 1/2 ),
Therefore, the dimension of each channel would be 46 in × 38 in