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?

Here's how to solve the problem:<br /><br />**1. Understand the Formula:**<br /><br />* The perimeter of a rectangle is calculated by: Perimeter = 2 * (length + width)<br /><br />**2. Set up the Equation:**<br /><br />* We know the length (525 m) and the perimeter (1504 m). Let's plug these values into the formula:<br /> 1504 = 2 * (525 + y)<br /><br />**3. Solve for the Width (y):**<br /><br />* Simplify the equation: 1504 = 1050 + 2y<br />* Subtract 1050 from both sides: 454 = 2y<br />* Divide both sides by 2: y = 227<br /><br />**Answer:** The width of the plot is 227 meters. <br />