Caterina  want to buy rug for room that is 15 feet by 20 feet. she want to leave an even strip of flooring uncover around edge of room.how wide strip will she has  if she buy rug with area of 234 Sqft

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Find the area of the room=15*20=300 sq.ft the area not covered by the rug=300-234=66 The area of the uncovered part=2*20*x+2*(15-2x)*x 40x+(30-4x)x=40x+30x-4x^2=70x-4x^2=66 solve for x =1feet