A rectangular room measures 16 feet by 18 feet. The ceiling is 9 feet high. a. Find the total area of the four walls in the room. b. If a gallon of paint costs $37.99 and it covers 400 square feet on average, what is the cost of painting the room, including the ceiling, with two coats of paint? Explain your answer. c. This room is well insulated and is on the north side of the house. How large of an air conditioner would this room require? Round to the next highest thousand BTUs. d. A scale drawing is made of this room using the scale 1 sq$$\mathrm{ft}$=$\frac{1}{4}$ $$\mathrm{sq}$ in. What are the dimensions of this room on the drawing?

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 is 14 feet by 20 feet. The ceiling is 8 feet high. If a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room with two coats of paint? Explain your answer.

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.

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

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?

Liz and Nick are buying a $725,000 home. They have been approved for a 3.25% APR, 30-year mortgage. They made a 20% down payment and will be closing on March 11. a. What is their interest on the loan for one year? b. What is the daily interest? c. How much should they expect to pay in prepaid interest at the closing?

A rectangular room measures x feet by y feet, where x< y. The ceiling is c feet high. The walls and the ceiling will be painted the same color. Express the area of the ceiling algebraically.

A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. This room is well-insulated and is on the north side of the house. How large an air conditioner would this room require? Round to the nearest thousand BTUs.

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?

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?

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 $18$ feet by $25$ feet. It is going to be carpeted with carpeting that sells for $\$8.45$ per square foot. If the room is drawn to a scale of $\frac{1}{4}$ inch represents $1$ foot, give the dimensions of the room in inches on the scale drawing.