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
Diagonall
Width
Height
A
15
overline 13
B VER
22
19
C
32
29
40
36
To determine which screen will fit on the shelf, we need to compare the height and width of each screen with the dimensions of the shelf.
For screen A:
Width: 13 inches (less than the shelf's width)
Height: Not provided
Since the width is less than the shelf's width, we cannot determine if it will fit. Insufficient information.
For screen B:
Width: 19 inches (less than the shelf's width)
Height: Not provided
Since the width is less than the shelf's width, we cannot determine if it will fit. Insufficient information.
For screen C:
Width: 29 inches (less than the shelf's width)
Height: 40 inches (greater than the shelf's height)
Since the height is greater than the shelf's height, it will not fit on the shelf.
For screen D:
Width: 36 inches (greater than the shelf's width)
Height: Not provided
Since the width is greater than the shelf's width, it will not fit on the shelf.
Based on the given information, none of the screens listed will fit on the shelf.
To determine which screen is the largest size that will fit on Yoselin's shelf, we need to compare the width and height of each screen with the dimensions of the shelf.
Firstly, let's compare screen A:
Screen A:
- Diagonal: 15 inches
- Width: overline 13 inches
- Height: Not provided
Since the height of screen A is not provided, we cannot determine whether it will fit on the 17-inch tall shelf. Therefore, we cannot consider screen A as an option.
Next, let's compare screen B:
Screen B:
- Diagonal: 22 inches
- Width: 19 inches
- Height: Not provided
Similarly, since the height of screen B is not provided, we cannot determine whether it will fit on the 17-inch tall shelf. Therefore, we cannot consider screen B as an option either.
Moving on to screen C:
Screen C:
- Diagonal: 32 inches
- Width: 29 inches
- Height: 40 inches
Since both the width (29 inches) and height (40 inches) of screen C are larger than the dimensions of the shelf (17 inches tall and 50 inches wide), screen C will not fit on the shelf.
Finally, let's compare screen D:
Screen D:
- Diagonal: 36 inches
- Width: Not provided
- Height: Not provided
Since the width and height of screen D are not provided, we cannot determine whether it will fit on the shelf. Therefore, we cannot consider screen D as an option.
In conclusion, based on the information given, none of the screens listed (A, B, C, D) can fit on Yoselin's shelf, as they either have a height greater than 17 inches or a width greater than 50 inches.