Sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is at least 6 inches and at most 12 inches. If she uses all the trim, what are the possibles dimensions of her scarf? Write your answer in inches.
Accepted Solution
A:
3 yards = 36*3 = 108 inches -> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width.
=> length + width = 54 inches and 6 ≤ width ≤ 12 => all possible dimensions are: 6x48 7x47 8x46 9x45 10x44 11x43 12x42