A farmer has 1200 yards of fencing to make two identical rectangular enclosures. Find the dimensions of each enclosure that will maximize the total area of the enclosure. (Justify your result using calculus and include a figure if possible.)

One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.

A beach tent is designed so that one side is open. Find the number of square feet of canvas needed to make the tent.

Find the perimeter of a regular octagon if the length of each side is 3.4 in.

An airplane flies from Naples, Italy, in a straight line to Rome, Italy, which is 120 kilometers north and 150 kilometers west of Naples. How far does the plane fly?

Solve by completing the square: x2+4x=5 .

In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home plate. The center fielder then throws the ball to third base and gets a runner out. The distance between the bases is 60 feet. How far is the center fielder from third base?