Math Problem Statement

Calculate the area of the following irregular pentagon

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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