A picture must be hung on a wall were the distance from the floor to ceiling is 8 feet. The center of the picture mist be 5 1/4 feet from the floor. Determine the distance from the ceiling to the top of the picture frame
How do I do this problem? Thanks!!
What rare the dimensions of the frame?
8 - 5.25 - 1/2 height of frame = ?
I'm so sorry. The picture is 24 imcjes wide and 28 inches high
To solve this problem, we can use the concept of the distance between the ceiling and the top of the picture frame being the difference between the overall height of the wall and the distance from the floor to the center of the picture.
Here's how you can calculate it step by step:
1. Determine the overall height of the wall, which is 8 feet.
2. Find the distance from the floor to the center of the picture, which is given as 5 1/4 feet.
To convert the mixed number (5 1/4) to an improper fraction, multiply the whole number (5) by the denominator (4) and add the numerator (1). This gives us (5 * 4 + 1) = 21.
So, the distance from the floor to the center of the picture is 21/4 feet.
3. Subtract the distance from the floor to the center of the picture from the overall height of the wall to get the distance from the ceiling to the top of the picture frame.
8 feet - 21/4 feet = 32/4 - 21/4 = 11/4 feet.
Therefore, the distance from the ceiling to the top of the picture frame is 11/4 feet.
In decimal form, it is approximately 2.75 feet.
You can check your answer by adding the distance from the floor to the center of the picture (5 1/4 feet) to the distance from the ceiling to the top of the picture frame (2.75 feet). The sum should equal the overall height of the wall (8 feet).