Question

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?

Answer 1

Answer:

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