Screen Size

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.
Screen Diagonal Width Height
A 15” 13” 7.48
B 22” 19” 11.09
C 32” 28” 15.49
D 40” 35” 23.87
Which screen is the largest that will fit on Yoselin’s shelf?

To determine which screen is the largest that will fit on Yoselin's shelf, we need to consider both the width and height of the screens.

The shelf is 17 inches tall and 50 inches wide.

Comparing the width of the screens:
- Screen A has a width of 13 inches, which is smaller than the shelf width of 50 inches.
- Screen B has a width of 19 inches, which is smaller than the shelf width of 50 inches.
- Screen C has a width of 28 inches, which is smaller than the shelf width of 50 inches.
- Screen D has a width of 35 inches, which is smaller than the shelf width of 50 inches.

Comparing the height of the screens:
- Screen A has a height of 7.48 inches, which is smaller than the shelf height of 17 inches.
- Screen B has a height of 11.09 inches, which is smaller than the shelf height of 17 inches.
- Screen C has a height of 15.49 inches, which fits within the shelf height of 17 inches.
- Screen D has a height of 23.87 inches, which is larger than the shelf height of 17 inches.

Based on these comparisons, Screen C is the largest that will fit on Yoselin's shelf as it has both a width and height that are smaller than the dimensions of the shelf.