Exercises

1. What is the largest possible area for a right triangle with hypotenuse of length 5 cm? What are its dimensions?
2. A rectangle has its base on the x-axis and its upper two vertices on the parabola . What is the largest area the rectangle can have? What are its dimensions?
3. What are the dimensions of the open-top right circular cylindrical can that will hold a volume of 1000 and that uses the least amount of material?
4. A fence 8 ft. tall runs parallel to a tall building at a distance of 4 ft. from the building. What is the length of the shortest ladder that will reach from the ground?