A painter used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whole room? Please show your work with descriptions, this topic of math is really confusing for me.

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image