The length and width of panels used for interior doors (in inches) are denoted as X and Y, respectively. Suppose that X and Y are independent, continuous uniform random variables for 17.75 <x<18.25 and 4.75 < y < 5.25, respectively. (a) By integrating the joint probability density function over the appropriate region, determine the probability that the area of a panel exceeds 90 square inches. (b) What is the probability that the perimeter of a panel exceeds 46 inches?