Math Problem Statement
Calculate the area of the following irregular pentagon
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Polygon Area Calculation
Coordinate Geometry
Decomposition into Simpler Shapes
Formulas
Area of a polygon using vertices coordinates (Shoelace Theorem)
Area of triangles and trapezoids (base * height / 2 for triangles, base * height for trapezoids)
Theorems
Shoelace Theorem
Area decomposition method
Suitable Grade Level
Grades 9-12
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