Construct a Golden Rectangle A golden rectangle has sides in the golden ratio, (1 + v5 ) : 2. If you divide a golden rectangle into a square and a smaller rectangle, the smaller rectangle has sides in the same proportion as the original rectangle. Use a compass and straightedge to construct a golden rectangle. Follow the steps below. - Construct square ABCD. Bisect the bottom side of the square (construct midpoint M), and draw a line from M to the upper right vertex. Using point M as the center of a circle and the segment you just drew as a radius, construct an arc to the right of the square. Extend the bottom of the square to meet the arc at point P. - Construct a perpendicular at P. Extend the top edge of the square to meet the perpendicular through P