Step 1 :First, we need to find out how long each lap is in miles. Since Maya drove a total of 57.2 miles in 13 laps, we divide the total distance by the number of laps. The calculation is \(\frac{57.2 \text{ miles}}{13 \text{ laps}} = 4.4 \text{ miles/lap}\).
Step 2 :Next, we need to convert this distance from miles to yards. From the conversion table, we know that 1 mile is equal to 1760 yards. So, we multiply the length of each lap in miles by the number of yards in a mile. The calculation is \(4.4 \text{ miles/lap} \times 1760 \text{ yards/mile} = 7744 \text{ yards/lap}\).
Step 3 :So, each lap is 7744 yards long. The final answer is \(\boxed{7744}\).