MATH SOLVE

3 months ago

Q:
# 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.questions:1. 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_____ feet2. 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 feet3. 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._____ hoursPLEASE HELP!!

Accepted Solution

A:

Answer: 2.23 hoursStep-by-step explanation:dimensions of the room------------------- >16*131 in---------------- >0.0833333 foot3 in----------------- >xx=3*.0833333=0.25 ftLetC-------------- > dimensions of the piece of carpet that Charlotte must purchaseC-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²The answer a the question 1) is 16.50 feet X 13.50 feetThe answer a the question 2) is 222.75 ft²3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hourfour person carpet crew can lay 100 square feet of carpet---------- > 1 hourthereforeif 100 ft² carpet----------------------- > 1 hour 222.75 ft² carpet--------------------- > xx=222.75/100=2.2275 hours=2.23 hoursThe answer is 2.23 hours