SOLUTION: Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 122 inches. Also, its length is 9 inches longer

Algebra ->  Linear-equations -> SOLUTION: Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 122 inches. Also, its length is 9 inches longer      Log On


   



Question 954741: Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 122 inches. Also, its length is 9 inches longer than its width. Find the dimensions of this sign.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=W+9in; P=perimeter=2(L+W)=122in
P=2(L+W)
122in=2(L+W) Divide each side by 2.
61in= L+W Substitute for L.
61in=W+9in+W Subtract 9in from each side.
52in=2W Divide each side by 2.
26in=W ANSWER 1: The width is 26 inches.
L=W+9in=26in+9in=35in ANSWER 2: The length is 35 inches.
CHECK:
P=2(L+W)
122in=2(35in+26in)
122in=2(61in)
122in=122in