1. Brett is buying a rug for his living room. His living room is a rectangle with a length that is twice as long as its width. Brett decides that the rug will also be a rectangle, but it will be only one half the length of the room and one half as wide. What will be the ratio of the rug's area to the living room's area? 2. Find the perimeter of a regular pentagon that is inscribed in a circle with a radius of 4. Round your answer to the nearest hundredth. 3. The vertices of ADEF are D(-4, 4), E(0, 4), and F(6, 6). Use matrix multiplication to reflect ADEF across the x-axis. Draw the pre-image and image in a coordinate plane. 4. The pole for a tent makes a 590 angle with the ground. If the load on the pole is 15 pounds, what are the vertical and horizontal loads? Round your answers to the nearest hundredth. 5. A kitchen is 17 feet long and 10 feet wide. Draw a scale representation of the floor of the kitchen using a scale of 1 cm : 3 ft. Give your answer to the nearest tenth. 6. Rectangle EFGH's base is b, its height is h, and it has a perimeter of 48 units. Determine the area of the rectangle for b = 6, b = 8, b = 12, and b = 16. Based on these results, what conjecture can you make about maximizing the area of a rectangle with a fixed perimeter? 7. A person is standing 300 feet away from a building. The angle of elevation from the person to the roof of the building is 490. Find the height of the building to the nearest foot. 8. Suppose two numbers , a and b, are in the golden ratio to each other. If b is the smaller number and is equal to 8, what is a in simplified radical form