Towns A and B are connected by two roads that intersect at a right angle, as shown in th...

Towns A and B are connected by two roads that intersect at a right angle, as shown in the figure. The highway department needs to repair the roads and has decided instead to construct a new road that connects the two towns directly. The cost of eliminating the two existing sections of road is estimated at $50,000and the cost of constructing the new road is $200,000 per mile. Estimate the cost of the project.