The width of the rug is 9 feet.
Step-by-step explanation:
Perimeter of rug = 42 feet
Lengths are same in square and rectangle shapes; therefore;
Length of rug = 12 feet
Width of rug = w
Perimeter = Length + Length + Width + Width
Perimeter = 

Dividing both sides by 2

The width of the rug is 9 feet.
Keywords: perimeter, division
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I believe multiply then 3
(a) The parabola opens downward.
(b) The axis of symmetry is at x = -2.
(c) The vertex is at (-2,0).
(d) The x-intercepts is (-2,0), and the y-intercept is at (0,-1).