6. A rancher wants to fence in an area of XXXXXXXXXXsquare feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the shortest length of...

6. A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the shortest length of fence that the rancher can use? (in ft)

7. Find the point on the line 4x+2y−2=0 which is closest to the point (−4,5).

8. A fence 8 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? (in ft)