Maximizing Area with 120 ft of Fencing - Optimization Problem

This 21-minute tutorial tackles a classic optimization problem where you must determine how to enclose the maximum rectangular area using 120 feet of fencing along three sides (with a river forming the fourth boundary). Follow along with step-by-step instructions on setting up optimization equations, solving with quadratic functions, applying the vertex formula, and completing the square method. The video highlights common mistakes students make when approaching these problems and provides clear explanations suitable for both algebra and calculus students. Perfect for middle school, high school, homeschool, college math students, or anyone preparing for teacher certification tests who needs to understand practical applications of quadratic equations and maximization problems.