Mario is constructing a car to enter into a soap box derby. The side panel of the car is shown below.

1. What is the length of the side of the side panel opposite the obtuse angle? Round your answer to the nearest hundredth.

2. What is the area of the side panel? Round your answer to the nearest hundredth.

3. On the side of the panel, a bright yellow triangle is painted whose sides measure 2 feet, 3.5 feet, and 5 feet. What is the area of the bright yellow triangle? Round your answer to the nearest hundredth.

4. The front wheels on Mario’s car are divided into sectors of equal area. The radius of each wheel is 8 inches. The area painted blue is twice the area painted green. The area painted green is half the area painted red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth.

5. The rear wheels of Mario’s car complete 4/5 of a rotation for every full rotation of a front wheel. What is the radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.

6. Mario’s original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on Mario’s car?