The length of a drag racing strip is 1/4 mile long. How many feet from the finish line is the midpoint of the racing strip?

The length of the drag racing strip is 1/4 mile, or 1/4 * 5280 feet = <<1/4*5280=1320>>1320 feet.

Thus, the midpoint of the racing strip is 1320 feet / 2 = <<1320/2=660>>660 feet from the finish line. Answer: \boxed{660}.

To find the midpoint of the drag racing strip, we need to divide the length of the strip by 2.

The length of the drag racing strip is given as 1/4 mile.

1 mile is equivalent to 5,280 feet.

So, 1/4 mile is equal to (1/4) * 5280 = 1320 feet.

Now, let's find the midpoint by dividing the length by 2.

Midpoint = 1320 feet / 2 = 660 feet.

Therefore, the midpoint of the drag racing strip is 660 feet from the finish line.