Zachary wants to buy a rug for a room that is 12 ft wide and 15 ft long. He wants to leave a uniform strip of floor around the rug. He can afford to buy 108 ft2 of carpeting. What dimensions should the rug have?

Question

Mathematics

Aaden Aguilar

22 February, 04:38

Zachary wants to buy a rug for a room that is 12 ft wide and 15 ft long. He wants to leave a uniform strip of floor around the rug. He can afford to buy 108 ft2 of carpeting. What dimensions should the rug have?

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Answers (1)

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Alani Velasquez · Answer 1

Step-by-step explanation:

area of room=15*12=180 ft²

rug = 108 ft²

magnification=√ (108/180) = √ (9/15) = 3/√15

so length of rug=15*3/√15=3√15 ft

width of rug=12*3/√15=36√15/15=2.4√15 ft