Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

The main meeting room of the Glen Oaks Community Center measures 46 feet by 34 feet and has a 12-foot ceiling. It is well insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large an air conditioner should he purchase? Round up to the next thousand BTUs.

A rectangular room has length L and width W. Its volume is 2,455 cubic feet Express the height of the ceiling algebraically in terms of x.

A regular heptagon (7 sides) has perimeter 126 and area A. Express the apothem a of the heptagon algebraically in terms of the area A.

An irregular plane figure drawn on graph paper is framed inside of a 15 by 40 rectangle. To find its area, 10,000 random points are generated, and 5,710 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

Elizabeth is a landscape designer. She created a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape and the company wants to include the area of the pond on the packaging. She takes a diagram of the pond and places it inside a 25-ft by 25-ft square. What is the area of the square?

A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. Find the cost of the gazebo’s floor if the flooring costs $3 per square foot. Round to the nearest hundred dollars.

Find the volume of a rectangular room that measures 13 feet by 15.5 feet, with an 8-foot ceiling.

For planting roses, a gardener uses a special mixture of soil that contains sand, peat moss, and compost in the ratio $2: 5: 3$. How many pounds of compost does she need to add if she uses three 10 pound bags of peat moss? (A) 12 (B) 14 (C) 15 (D) 18 (E) 20

iVan charges an hourly rate for a moving team to load and unload a truck. The charge is a different hourly rate for a team to pack and unpack boxes. Use the quotes to determine the iVan hourly rates.

$$\begin{matrix} \text{Weekday Move} & \text{Weekend Move}\\ \text{8 hours of loading/unloading} & \text{5 hours of loading/unloading}\\ \text{6 hours of packing/unpacking} & \text{3 hours of packing/unpacking}\\ \text{\$890 total cost} & \text{\$515 total cost}\\ \end{matrix}$$

NuHome Movers charges $95 per hour for loading/unloading services and$80 per hour for packing/unpacking services. Their charge is $2.50 per mile for truck rental. Jay is moving a distance of 200 miles and needs 9 hours of loading/unloading and 7 hours of packing/ unpacking. What will his moving cost be if the service also charges 7.25% tax on the total?

Conan is moving into a two-bedroom apartment in Valley Oaks. The monthly rent is $2,000. His up-front fees are shown. How much can he expect to pay up front for this apartment? Application fee: 3% of one month's rent, Credit application fee:$20, Security deposit: 1 month's rent and last month's rent, Broker's fee: 14% of year's rent.

Hannah's financial advisor believes that she should spend no more than 26% of her gross monthly income for housing. She has determined that amount is $1,794 per month. Based on this amount and her advisor's recommendation, what is Hannah's annual salary?

Elizabeth is a landscape designer. She created a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape and the company wants to include the area of the pond on the packaging. What is the area of the pond, to the nearest square foot?