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We are asked to find the distance the players ran along the diagonal of a rectangular football field twice.

### Step 1: Use the Pythagorean theorem
Since the field is a rectangle, the diagonal \(d\) can be found using the Pythagorean theorem:
\[
d = \sqrt{L^2 + W^2}
\]
where:
- \(L = 100 \, \text{yards}\) (the length),
- \(W = 53.3 \, \text{yards}\) (the width).

### Step 2: Plug in the values
\[
d = \sqrt{100^2 + 53.3^2}
\]
\[
d = \sqrt{10000 + 2840.89}
\]
\[
d = \sqrt{12840.89}
\]
\[
d \approx 113.33 \, \text{yards}
\]

### Step 3: Double the diagonal distance
The players ran along the diagonal twice:
\[
\text{Total distance} = 2 \times 113.33 \approx 226.66 \, \text{yards}
\]

Thus, the answer is approximately **226.66 yards**.

Do you need more details or have any questions?

Here are 5 related questions to expand the concept:
1. How would the diagonal change if the width of the field increased by 10 yards?
2. What if the players only ran the diagonal once; what distance would they cover?
3. If the players ran four times along the diagonal, what would the total distance be?
4. How does the Pythagorean theorem help in real-world applications like this?
5. What if the field had a different shape, like a square? How would you find the diagonal then?

**Tip:** When solving for the diagonal of a rectangle, the Pythagorean theorem is a quick and reliable method!

A football field is shaped like a rectangle, measuring 100 yards long and 53.3 yards wide. The defensive line coach asked players to run along the diagonal length of the field for warm-ups. About what distance did the players run if they ran the diagonal length of the field twice? Round to the nearest hundredth.

Learn how to calculate the diagonal length of a football field using the Pythagorean theorem. Given dimensions of 100 yards long and 53.3 yards wide, players ran the diagonal distance twice for warm-ups. Find out how the theorem applies and solve for the distance, rounded to the nearest hundredth.

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