Question

Aaron bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow him to watch 4 channels at once. What is the scale factor and size for each channel when this feature is turned on?

Answer 1

19 inches each I believe but I'll stand corrected if Im wrong.

Explanation:

Answer 2

Scale factor is
`(1)/(2)`

Dimension for each channel is 46 in × 38 in

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 =
`(A)/(4)`

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,

`\implies x=\sqrt{(A/4)/(A)}=\sqrt{(1)/(4)}=(1)/(2)`

Hence, scale factor in the given situation is
`(1)/(2)`

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