Problem:
The rectangle is inside the rectangle . The portion of the rectangle outside of is colored in green. Using just a straightedge construct a line that divides the green figure in two parts of equal areas.
Problem:
The rectangle is inside the rectangle . The portion of the rectangle outside of is colored in green. Using just a straightedge construct a line that divides the green figure in two parts of equal areas.
Solution:
The line passing through the centers of and divides each of the rectangles in two pieces of equal areas. Hence that line will divide the green part into equal areas. The line can be easily constructed using only a straightedge because we can construct the centers of the given rectangles as intersections of their diagonals.