A square table has an area of 2116 square inches. A tablecloth hangs 3 inches over each end of the table.
a. What is the length of one side of the table?
b.What is the area of the tablecloth?
a. I know is 46 inches
Please help me to figure out b.
Thank you.
49^2 is 2,401 is that the area of the tablecloth? The back of my book has the answer as 2704, did I forget to do something?
You didn't forget. I did! Sorry.
We need to add 6 inches to each side.
52^2 = 2704 square inches
Got it now! Thank you!
You are welcome, Katie.
no
To find the area of the tablecloth, we need the dimensions of the table. Since the table is square, the length and width are the same. Let's call the length of one side of the square table "x".
The tablecloth hangs 3 inches over each end of the table, so the length and width of the tablecloth would be:
Length = x + 3 + 3 = x + 6 (3 inches hang over each end of the table)
Width = x + 3 + 3 = x + 6 (3 inches hang over each end of the table)
The area of the tablecloth is equal to the area of the table plus the extra cloth hanging over each end of the table:
Area of the tablecloth = (x + 6) * (x + 6)
Since we are given that the area of the table is 2116 square inches, we can set up the following equation:
(x + 6) * (x + 6) = 2116
To solve this equation and find the value of x, we can find the square root of both sides:
√[(x + 6) * (x + 6)] = √2116
Simplifying:
x + 6 = √2116
Now, subtract 6 from both sides:
x = √2116 - 6
Calculating:
x ≈ 46
Now that we have the value of x as 46, we can substitute it into the equation for the area of the tablecloth:
Area of the tablecloth ≈ (46 + 6) * (46 + 6)
Area of the tablecloth ≈ 52 * 52
Area of the tablecloth ≈ 2704 square inches
So, the area of the tablecloth is approximately 2704 square inches.
Yes, the table has 46 inches on each side
The table cloth adds 3 inches to each side.
49^2 = ______ square inches