Richard has a rectangular plot of land that is 525 m long and y m wide. He decides to build a fence around the plot. If the perimeter of the plot is 1504 m, what is the width?
Let's say the width of the plot is y meters.
The perimeter of a rectangle is given by the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
From the given information, we can write the equation: 1504 = 2(525 + y).
Distributing the 2 to the terms inside the parentheses, we get: 1504 = 1050 + 2y.
Subtracting 1050 from both sides of the equation, we get: 1504 - 1050 = 2y.
Simplifying the left side of the equation, we get: 454 = 2y.
Dividing both sides of the equation by 2, we get: y = 227.
Therefore, the width of the plot is 227 meters. Answer: \boxed{227}.