Find the perimeter of the following:
A table top is in the shape of a regular septagon. If the wooden edging around the table top is of 98 cm, find the length of each side of the table.

Answer

To find the length of each side of a regular septagon (a seven-sided polygon) given that the perimeter is 98 cm, we can follow these steps:

### Step 1: Understand the properties of a regular septagon
A regular septagon has all sides of equal length. Let the length of each side be denoted as \( x \).

### Step 2: Write the formula for the perimeter of a regular septagon
The perimeter \( P \) of a regular polygon can be calculated using the formula:
\[ P = \text{Number of sides} \times \text{Length of each side} \]
For a septagon, the number of sides is 7. Therefore, the formula becomes:
\[ P = 7 \times x \]

### Step 3: Set up the equation with the given perimeter
We know the perimeter of the septagon is 98 cm. Thus, we can set up the equation:
\[ 7 \times x = 98 \]

### Step 4: Solve for \( x \)
To find the length of each side \( x \), we divide both sides of the equation by 7:
\[ x = \frac{98}{7} \]

### Step 5: Calculate the value of \( x \)
Now, we perform the division:
\[ x = 14 \text{ cm} \]

### Conclusion
The length of each side of the table top (the regular septagon) is 14 cm.

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