Solution: Rectangle Area
Explore how to calculate the total area covered by two axis-aligned rectangles on a 2D plane. Understand how to find individual areas, determine the overlapping region, and combine these calculations to avoid double counting. This lesson helps you implement a constant time solution using coordinate comparisons and basic geometry principles.
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). ...