### Problem Statement**Given:**A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard. **Questions:**a. What is the area of the room in square feet?b. If the scale of the room drawing is 1/4 inch = 1 foot, give the dimensions of the room in inches on the scale drawing.c. A yard equals 3 feet. How many square feet are in a square yard?d. How many square yards will it take to carpet the room? Round up to the next greater integer.### Solutions:**a. Calculating the Area of the Room in Square Feet:**To find the area in square feet:\[ \text{Area} = \text{Length} \times \text{Width} \]\[ \text{Area} = 13 \, \text{ft} \times 15 \, \text{ft} \]\[ \text{Area} = 195 \, \text{square feet} \]**b. Converting Room Dimensions to Scale Drawing Dimensions:**Given the scale: 1/4 inch = 1 foot, we convert the room dimensions to inches.\[ \text{Length in inches} = 13 \, \text{ft} \times \frac{1}{4} \, \text{inch/ft} = 3.25 \, \text{inches} \]\[ \text{Width in inches} = 15 \, \text{ft} \times \frac{1}{4} \, \text{inch/ft} = 3.75 \, \text{inches} \]So, the dimensions of the room on the scale drawing are 3.25 inches by 3.75 inches.**c. Calculating Square Feet in a Square Yard:**A yard equals 3 feet, so:\[ \text{1 Square Yard} = \left(3 \, \text{ft} \times 3 \, \text{ft}\right) \]\[ \text{1 Square Yard} = 9 \, \text{square feet} \]**d. Calculating Square Yards Needed to Carpet the Room and Rounding Up:**Firstly, convert the area from square feet to square yards:\[ \text{Area

All parts are answered. Area of rectangle = Width* Length

2. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard. a. What is the area of the room in square feet? b. If the scale of the room drawing is 4 inch = 1 foot, give the dimensions of the room in inches on the scale drawing. c. A yard equals 3 feet. How many square feet are in a square yard? d. How many square yards will it take to carpet the room? Round up to the next greater integer

2. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard. a. What is the area of the room in square feet? b. If the scale of the room drawing is 4 inch = 1 foot, give the dimensions of the room in inches on the scale drawing. c. A yard equals 3 feet. How many square feet are in a square yard? d. How many square yards will it take to carpet the room? Round up to the next greater integer

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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