Let's convert the verbal descriptions into mathematical expressions to illustrate the problem more clearly. The base of the triangle is (8+√19) and the altitude or height is √76 . Then, the area of the triangle is
A=(1/2)(b)(h) = (1/2) (8+√19)(√76) = 19+8√19 square units
Then, you multiply this by $0.25 to determine the total cost. The answer would be $13.5.