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A farmer builds three sections of a fence, as shown in the figure, where =20.00 m, and gets tired. Walking straight back to where he started, how far did he have to go?

To solve this, let's break it down geometrically.

The farmer built three sections of a fence:
- The first section is along the diagonal, labeled \(L = 20.00\ \text{m}\).
- The second section is vertical, labeled \(L = 20.00\ \text{m}\).
- The third section is horizontal, labeled \(L/2 = 10.00\ \text{m}\).

### Task: Find the straight-line distance \(d\) the farmer has to walk back to the starting point.

This forms a triangle where:
- One side is \(L\) (the diagonal),
- One vertical side is \(L\),
- The horizontal side is \(L/2\).

Now, to calculate the distance \(d\), we apply the Pythagorean theorem. The diagonal forms the hypotenuse of the right triangle where:
- The vertical side is \(L - L = 20.00 - 20.00 = 0\).
  


A farmer builds three sections of a fence, as shown in the figure, where L = 20.00 m, and gets tired. Walking straight back to where he started, how far did he have to go?

Solve a geometry problem where a farmer builds three sections of a fence (L = 20.00 m), and then walks straight back to the start. Learn how to use the Pythagorean theorem to calculate the straight-line distance. Suitable for high school students.

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