Problem

U.S. Customary length conversions involving dimensional analysis A jogging track has a length of 0.2 miles (mi). How long is this in yards (yd)? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Solution

Step 1 :Given that the length of the jogging track is 0.2 miles.

Step 2 :We know that 1 mile is equal to 1760 yards.

Step 3 :Therefore, we can multiply the length of the jogging track in miles by this conversion factor to get the length in yards.

Step 4 :\(miles = 0.2\)

Step 5 :\(yards\_per\_mile = 1760\)

Step 6 :\(yards = miles \times yards\_per\_mile = 0.2 \times 1760 = 352.0\)

Step 7 :Final Answer: The length of the jogging track is \(\boxed{352}\) yards.

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