Solution: Rectangle Area
Understand how to calculate the combined area covered by two axis-aligned rectangles on a plane. Learn to find individual rectangle areas, detect overlapping regions, and subtract the overlap to avoid double counting, resulting in an accurate total area measure. This lesson equips you with a step-by-step method and analysis of time and space efficiency.
We'll cover the following...
We'll cover the following...
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). ...