Rectangle Area

Description:

Find the total area covered by two rectilinear rectangles in a 2D plane.

Each rectangle is defined by its bottom left corner and top right corner as shown in the figure.

int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
Rectangle rect1(A,C,B,D);
Rectangle rect2(E,G,F,H);

int areaRect1 = (rect1.right-rect1.left)*(rect1.top-rect1.bottom);
int areaRect2 = (rect2.right-rect2.left)*(rect2.top-rect2.bottom);

int maxLeft = max(rect1.left, rect2.left);
int minRight = min(rect1.right, rect2.right);
int maxBottom = max (rect1.bottom, rect2.bottom);
int minTop = min(rect1.top, rect2.top);
int x = minRight-maxLeft;
int y = minTop-maxBottom;
if ( x > 0 && y > 0)
return areaRect1+areaRect2-x*y;
else
return areaRect1+areaRect2;
}

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