The space above the fireplaces mantel is 45 inches tall and 60 inches wide. You have the option of placing a 60", 68", 75" or 80" TV. Which is the largest TV that will fit? Show all your steps and reasoning for full credit.

1 answer

To determine the largest TV that will fit, we need to find a TV that has dimensions equal to or smaller than the available space above the fireplace mantel.

Given:
Space above the fireplace mantel: Height = 45 inches, Width = 60 inches.
TV options: 60", 68", 75", and 80" TVs.

We need to compare the height and width of each TV to the available space:

1. 60" TV:
- Height = 60 inches
Since the height of the TV is greater than the available height of 45 inches, a 60" TV will not fit.

2. 68" TV:
- Height = 68 inches
Since the height of the TV is greater than the available height of 45 inches, a 68" TV will not fit.

3. 75" TV:
- Height = 75 inches
Since the height of the TV is greater than the available height of 45 inches, a 75" TV will not fit.

4. 80" TV:
- Height = 80 inches
Since the height of the TV is greater than the available height of 45 inches, a 80" TV will not fit.

Based on the analysis above, none of the provided TV options will fit within the available space above the fireplace mantel.