Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford 390 square feet of carpeting. What dimensions should the rug have?

Sagot :

thebecks

Answer:

width =  15 ft

length = 26 ft

Step-by-step explanation:

(19 - 2x)(30 - 2x) = 390

570 - 38x - 60x + 4x² = 390

combine like terms:

4x² - 98x + 570 = 390

subtract 390 from each side of the equation:

4x² - 98x + 180 = 0

divide by 4:

x² - 24.5 + 45 = 0

(x - 22.5)(x - 2) = 0

x = 22.5 and x = 2

since x = 22.5 is out of the usable range, x = 2 ft is the solution

width = 19 ft - 4 ft = 15 ft  (remember that there will be a 2 ft gap at each wall, thus subtract 4 ft)

length = 30 ft - 4 ft = 26 ft

vasywyn

Answer:

width=15ft

lenght=26 ft

Step-by-step explanation:

(19-2x)(30-2x)=390.

570-38x-60+4x to the second power=390

combine likes terms:

4x to the second power-98+570=390

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.