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? (show work)

The scale factor is equal to 1/2

The dimensions of each channel when splits the screen is 46 in x 38 in

Step-by-step explanation:

we know that

The dimensions of the new television is 92 in x 76 in

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

A1 -----> the area of the new television

A2 ----> the area of each channel when splits the screen

z-----> the scale factor

we have that

The area of the new television is 4 times the area of each channel

-----> the scale factor

so

When splits the screen, the dimension of each channel is equal to

92/2 in x 76/2 in

so

46 in x 38 in

Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides

Verify the value of the scale factor

92/46=1/2

or

76/38=1/2

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

part a: 1.08

part b: 27.59