Natalie is making a tablecloth for a circular table 3 feet in diameter. The finished tablecloth needs to hang down 5 inches over the edge of the table all the way around. To finish the edge of the tablecloth, Natalie will fold under and sew down 1 inch of the material all around the edge. Natalie is going to use a single piece of rectangular fabric that is 60 inches wide. What is the shortest length of fabric, in inches, Natalie can use to make the tablecloth without putting any separate pieces of fabric together?
I have no idea how to go about solving this problem. Thanks in advance.
The diameter of the table cloth is 36 inches (3 feet) + 10 inches (overhang) + 2 inches (hem).
How many inches is that altogether? If you post your answer, we'll be glad to check it.
I guess my problem is visualizing the tablecloth. The answer is 48 inches, but I don't understand why there are two edges. Since it's a rectangle, would you multiply everything by four?
Wouldn't it be 36 + 20 + 4. I have the answer to the problem, and it is 48 (so I trust you :)) but I'm just trying to understand how to get that answer.
Your errors are in determining the additional numbers. Five inches on each edge adds a total of 10 inches to the diameter. The hem will be folded over, so you only need one additional inch on each side for the diameter.
36 + 10 + 2 = 48
I hope this helps a little more. Thanks for asking.
I need help with this math. I'm not sure how to do it. It's to confusing!!
To determine the shortest length of fabric required to make the tablecloth without putting any separate pieces together, we need to consider the diameter of the table, the amount the tablecloth should hang down, and the folding and sewing of the fabric.
First, let's calculate the total diameter of the tablecloth. Since the table has a diameter of 3 feet, we can double it to get the total diameter of the tablecloth. Therefore, the total diameter of the tablecloth is 3 feet * 2 = 6 feet.
Next, we need to account for the hangover on each side, which is 5 inches. Since the hangover occurs on both sides of the table diameter, we need to add it to the total diameter of the tablecloth. The new total diameter is 6 feet + 5 inches + 5 inches = 6 feet + 10 inches = 6 + 10/12 = 6.833 feet.
Now, let's consider the folding under and sewing. Natalie will fold under and sew down 1 inch of material all around the edge of the tablecloth. This means we need to reduce the total diameter of the tablecloth by this amount. So, subtract 1 inch from 6.833 feet to convert the total diameter back to feet: 6.833 feet - 1 inch = 6.833 feet - 1/12 feet = 6.833 - 0.0833 = 6.7497 feet.
Finally, let's convert the total diameter from feet to inches, since the width of the fabric is given in inches. Multiply the total diameter in feet by 12 to get it in inches: 6.7497 feet * 12 inches per foot = 80.9956 inches.
Therefore, Natalie needs a piece of fabric that is at least 80.9956 inches wide in order to make the tablecloth without putting any separate pieces together. Since the width of the fabric is given as 60 inches, it is not wide enough, and Natalie would need to find a wider piece of fabric or use multiple pieces to make the tablecloth.