Sergio used 20 yards of fence to enclose a rectangular garden on the side of his house. He used the wall of his house for one side of the garden. He wanted the rectangle to have the greatest possible area. Find the dimensions and the area of Sergio’s garden.

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.