To calculate the total length of fencing needed to enclose a rectangular area, you need to find the perimeter of the rectangle. The formula for the perimeter $P$ of a rectangle is:

$P = 2 \times (L + W)$

Where:

• $L$ is the length of the rectangle (46 feet)
• $W$ is the width of the rectangle (34 feet)

Substituting the given values:

$P = 2 \times (46 + 34)$ $P = 2 \times 80$ $P = 160 \text{ feet}$

So, the total length of fencing needed is 160 feet.

Would you like any further details or clarification?

Here are 5 related questions to explore:

1. How would the perimeter change if the dimensions of the rectangle were doubled?
2. How do you calculate the area of a rectangle and why is it useful in fencing problems?
3. How much fencing would be required if the shape were a square instead of a rectangle?
4. What is the difference between the perimeter and the area of a rectangle?
5. How can you find the perimeter of a polygon with more sides, such as a hexagon?

Tip: The perimeter gives you the total boundary length, while the area represents the total enclosed space.