Final answer:
To find the dimensions of the national hockey rink, we can set up a system of equations and solve for the width. However, there is no valid solution based on the given information.
Step-by-step explanation:
To find the dimensions of the national hockey rink, we can set up a system of equations based on the given information. Let's say the width of the rink is x ft. According to the question, the length is 115 ft longer than the width, so the length would be x + 115 ft.
The perimeter of a rectangle is found by adding up all four sides. In this case, it is given that the perimeter is 150 ft. So, we can set up the following equation: 2(x + x + 115) = 150.
Solving the equation, we get 4x + 230 = 150. Subtracting 230 from both sides gives 4x = -80. Dividing both sides by 4 gives x = -20. However, since dimensions cannot be negative, this is not a valid solution.
Therefore, there is no valid solution for the dimensions of the national hockey rink based on the given information.