Question 943851: The length of a rectangular poster is 3 inches more than three times its width. Find the length of the poster if the perimeter is 46 inches Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! Width=W; Length=L=3W+3; perimeter=P=2(L+W)
P=2(3W+3+W)=46 inches
6W+6+2W=46 subtract 6 from each side
8W=40 inches divide each side by 8
W=5 inches ANSWER Width is 5 inches.
L=3W+3=3(5 inches)+3 inches=15+3=18 inches ANSWER Length is 18 inches
CHECK:
Perimeter is 46 inches
2(L+W)=46 inches
2(18 inches+5 inches)=46 inches
2(23 inches)+46 inches
46 inches=46 inches
L=3W+3
18 inches=3(5 inches)+3 inches
18 inches=18 inches
