total area of intersecting rectangles

Question

I need an algorithm to solve this problem: Given 2 rectangles intersecting or overlapping together in any corner, how do I determine the total area for the two rectangles wi

Answer 1

Here is complete solution for this algorithm using Java:

public static int solution(int K, int L, int M, int N, int P, int Q, int R,
        int S) {
    int left = Math.max(K, P);
    int right = Math.min(M, R);
    int bottom = Math.max(L, Q);
    int top = Math.min(N, S);

    if (left < right && bottom < top) {
        int interSection = (right - left) * (top - bottom);
        int unionArea = ((M - K) * (N - L)) + ((R - P) * (S - Q))
                - interSection;
        return unionArea;
    }
    return 0;
}