Since area is length times width, it would be the factors of the equation for the area.
X2+11x+28 factors into...
Length is x+7 so...
Width is x+4
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

The area of the triangle is given by the following formula:

Where "b" is the base and "h" is its height. Replacing the values:

The total area is the sum of both areas:

replacing the areas:
Since the skier has to rent skis for 30 dollars per day with
both passes, we can ignore it while solving the question.
A season pass is 350, while a daily pass is 75.

So a seasonal pass is equivalent to having 4.6667 daily passes. And you can't buy 0.6667 of a pass.
So, if you went at least 5 days with a seasonal pass, then the seasonal pass would be less expensive than a daily pass.
Solution: Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.
The parameters of binomial distribution are
and 
The parameter n is given as the number of day's under consideration.

The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.
