Answer: 120
<u>Step-by-step explanation:</u>
Since the order of the numbers doesn't matter we can use the formula:

Let
be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce 
If we plug this expression in the second equation, we have

If you solve this equation with the usual quadratic formula you get the solutions

So, you have the following couple of solutions, recalling that x is 2 more than y:

search it up than you will get the correct answer
Area = Length x width.
Area of room = 15 x 24 = 360 square feet.
Now multiply the square feet by the cost:
360 x 5 = $1800
It will cost $1,800