The space above the fireplace's mantel is 50 inches tall and 62 inches wide. You have the option of placing a 55", 65" , 75" or 85" TV
Which is the largest TV that will fit? Show all the steps and reasoning
To determine the largest TV that will fit above the fireplace's mantel, we need to consider both the height and width of the TV and compare it to the available space.
Let's start by examining the height of the available space, which is 50 inches. We can eliminate the 85" TV option since it is taller than the available space.
Next, let's consider the width of the available space, which is 62 inches.
For a TV to fit without any issues, its width should be equal to or smaller than the width of the available space. Therefore, we can eliminate the 75" TV option since it is wider than the available space.
Now, we are left with two options: a 55" TV and a 65" TV.
To determine if the height of these TVs is suitable, we need to check if it is equal to or smaller than the available space of 50 inches.
The height of a 55" TV can be calculated using a common aspect ratio: 16:9. By dividing the width of the TV by the ratio number (16), we obtain the height.
For a 55" TV: Width / 16 = Height
55 / 16 = 3.4375 inches (approximately)
Since the height of the 55" TV is smaller than the available space of 50 inches, it will fit.
Similarly, the height of a 65" TV can also be calculated:
For a 65" TV: Width / 16 = Height
65 /16 = 4.0625 inches (approximately)
Again, the height of the 65" TV is smaller than the available space of 50 inches, so it will fit as well.
Therefore, the largest TV that will fit above the fireplace's mantel is the 65" TV.