Question

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

Answer 1

1/4

23in * 19 in.

Explanation:

The scale factor is 1/4 and the channel size is 92*1/4 * 76 * 1/4

= 23 in * 19 in screen.

Answer 2

Scale factor = 1/2, New screen 46 in by 38 in.

Explanation:

The dimensions of screen is 92 in. by 76 in.

It has a feature that splits the screen to allow you to watch 4 channels at once as shown in the below figure.

All four parts are equal.

Let the dimensions of new screen be x in. by y in.

`2x=92` and
`2y=76`

Divide both sides by 2.

`x=46` and
`y=38`

Scale factor is

`\text{Scale factor}=\frac{\text{New dimension}}{\text{Corresponding original dimension}}`

`\text{Scale factor}=(46)/(92)`

`\text{Scale factor}=(1)/(2)`

Therefore, the scale factor is 1/2.