13,322.5 {image} 13,342.5 {image} 13,321.5 {image} 13,311.5 {image} Consider the following problem: A farmer with 730 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? 1. 13,322.5 {image} 13,342.5 {image} 13,321.5 {image} 13,311.5 {image} 13,422.5 {image} 13,345.5 {image} 2. 3. 4. 5. 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A rectangular storage container with an open top is to have a volume of 6 m {image} . The length of its base is twice the width. Material for the base costs $14 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container. $134.35 $128.65 $130.15 $130.17 $127.85 $129.15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A fence 7 ft tall runs parallel to a tall building at a distance of 6 ft 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? Round the result to the nearest hundredth. 18.37 ft 18.57 ft 20.40 ft 18.36 ft 17.27 ft 19.37 ft 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A woman at a point A on the shore of a circular lake with radius 4 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time. She can walk at the rate of 6 mi/h and row a boat at 3 mi/h. How should she proceed? (Find {image} ). Round the result, if necessary, to the nearest hundredth. {image} She should walk around the lake from point A to point C. 0.57 radians She should row from point A to point C radians 0.85 radians 0.52 radians 0.73 radians 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A steel pipe is being carried down a hallway 13 ft wide A steel pipe is being carried down a hallway 13 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 8 ft wide. What is the length of the longest pipe that can be carried horizontally around the corner? Round the result to the nearest hundredth. {image} 29.46 ft 28.21 ft 28.38 ft 29.41 ft 29.44 ft 30.11 ft 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 4 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 10 km apart. In general, if it takes 1.6 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area? Your answer will be the distance between B and C (correct to one decimal place). {image} 4.4 km 5.5 km 3.2 km 3.7 km 2.1 km 4.6 km 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50