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Solution: Rectangle Area

Understand how to calculate the combined area of two rectangles on a 2D plane by identifying overlapping regions. Explore step-by-step methods to compute individual areas, determine intersection dimensions, and avoid double counting. This lesson helps you solve geometry problems efficiently with constant time and space complexity.

Statement

You are given the coordinates of two axis-aligned rectangles in a 2D plane. Your task is to calculate the total area covered by both rectangles.

  • The first rectangle is specified by the coordinates of its bottom-left corner (ax1, ay1) and top-right corner (ay1, ay2).

  • Similarly, the second rectangle is defined by its bottom-left corner (bx1, by1) and top-right corner (bx2, by2). ...