Under ideal conditions if a person driving a car slams on the brakes and skids to a stop the length of the skid marks in feet is given by the following formula where x is the weight of the car in pounds and y is the speed of the car in miles per hour L 0 0000133xy What is the average length of the skid marks for cars weighing between 2 200 and 2 900 pounds and traveling at speeds between 45 and 55 miles per hour Set up a double integral and evaluate it The average length of the skid marks is ft Do not round until the final answer Then round to two decimal places as needed