Solution: Rectangle Area
Explore how to calculate the total area covered by two rectangles in a 2D plane, accounting for any overlap. Learn to determine individual areas, find intersection boundaries, compute overlap, and avoid double counting. This lesson teaches a constant time geometric solution useful for coding interviews.
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). ...