Computer screens and television screens are usually measured by the diagonal of the screen. For example, a screen of size 60 inches would have a diagonal of 60 inches, a width of 52 inches, and a height of 30 inches.
Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50 inches wide. She would like the screen to be the largest size that will fit on the shelf. She knows the diagonal and width of the 4 screens listed below. (2 points each)
Screen
Diagonal
A
15"
Width
Height
13"
B
22
19"
C
32"
28"
D
40"
35"
To determine which screen will fit on the shelf, we need to find the screen with a diagonal smaller than or equal to 17 inches and a width smaller than or equal to 50 inches.
Screen A:
Diagonal: 15 inches
Width: 13 inches
This screen is smaller than the shelf, so it will fit.
Screen B:
Diagonal: 22 inches
Width: 19 inches
This screen is also smaller than the shelf, so it will fit.
Screen C:
Diagonal: 32 inches
Width: 28 inches
This screen is larger than the shelf, so it will not fit.
Screen D:
Diagonal: 40 inches
Width: 35 inches
This screen is also larger than the shelf, so it will not fit.
Therefore, the screens that will fit on the shelf are Screen A and Screen B.