Solution: Rectangle Area

Understand how to calculate the total covered area of two 2D rectangles by determining individual areas and subtracting any overlapping region. Learn to assess axis overlap and apply simple arithmetic to solve geometry-based coding challenges efficiently.

We'll cover the following...

Statement
Solution
- Time complexity
- 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).

Note: The rectangles may overlap.

Constraints:

$-10^4 \leq$ ax1 $\leq$ ax2 $\leq 10^4$ ...