Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Optimization
Perimeter and Area
Formulas
Perimeter of a rectangle: P = 2l + 2w
Area of a rectangle: A = l * w
Quadratic formula to find maximum area: A(l) = 36l - l^2
Theorems
Vertex of a parabola: The maximum area occurs at the vertex of a quadratic function
Suitable Grade Level
Grades 8-10
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