Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows. The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.

Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.

While determining how much paint to purchase, Charlotte finds the following information on the internet.

One gallon of paint typically covers 350 square feet.
The average door has an area of about 20 square feet.
The average window has an area of about 15 square feet.
Charlotte performs the following calculations to determine how much paint to buy.

She calculates the area of each of the four walls and finds that the total area of the walls, disregarding the doors and windows is 531 square feet.
There are two walls that have dimensions of 16 feet by 9 feet: 2(16 feet)(9 feet) = 288 square feet.
There are two walls that have dimensions of 13 feet by 9 feet: 2(13 feet)(9 feet) = 243 square feet.
Total area of walls: 288 square feet + 243 square feet = 531 square feet.
Next, she calculates that the doors and windows add an extra 70 square feet, making the total square footage 601 square feet.
Area of doors and windows: 2(20 square feet) + 2(15 square feet) = 40 square feet + 30 square feet = 70 square feet.
Total area, including doors and windows: 531 square feet + 70 square feet = 601 square feet.
Finally, she calculates that since one gallon of paint covers 350 square feet, she will need two gallons of paint.
= ⇒ 601(1) = 350x ⇒ 601 = 350x ⇒ 1.72 ≈ x
Since the paint Charlotte is buying only comes in gallons, she figures that she'll need to buy two gallons.
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.

Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.

She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.

PLZ ANSWER ALL QUESTIONS

Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.

What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

Length: ___feet; Width: feet.

Recall that the area of a rectangle is found by multiplying the length and width of the rectangle. What is the area of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

square feet

How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom? Note: Express your answer as a decimal number and round to the nearest one-hundredths place.

hours

What is the total cost for the carpet install, including the cost of the carpet, the cost of labor, and the additional fee? Note: Express your answer as a decimal number and do not round.

$