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Grokking the Coding Interview Patterns in JavaScript

Solution: Rectangle Area

Understand how to calculate the total covered area of two rectangles given their coordinates by identifying overlaps in both horizontal and vertical directions. This lesson guides you through computing individual areas, determining overlapping regions, and subtracting the overlap to avoid double counting.

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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). ...