A rectangular room has length L, width W, and height H, where L, W, and H are measured in feet. a. Express the volume in cubic feet algebraically. b. If carpeting costs $72 per square yard, write an expression for the cost of carpeting the floor of this room.

A rectangular room has length L, width W, and height H, where L, W, and H are measured in feet. a. Express the volume in cubic feet algebraically. b. If carpeting costs $72 per square yard, write an expression for the cost of carpeting the floor of this room.

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.

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.

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 length of a room is $19 \frac{1}{2}$ feet. When using $\frac{1}{4}$ inch = 1 foot scale, what would be the length of the wall on a floor plan?

A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard. What is the total price for the carpeting?

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.

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?

A rectangular room measures L feet by W feet. The ceiling is 8 feet high. The walls and the ceiling will be painted the same color. Express the total area of the walls and ceiling algebraically.

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?

The length of a rectangle is 6 inches and its area is (18x + 24) square inches. Write an expression for the width.

The perimeter of a room is 98 feet. If the room is a rectangle with a width of 22 feet, what is the length of the room in yards?