Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our 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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.