SOLUTION: A rectangle is 3 times as long as its width. If the perimeter is 104ft, what is it's dimension?

Question 949479: A rectangle is 3 times as long as its width. If the perimeter is 104ft, what is it's dimension?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A rectangle is 3 times as long as its width. If the perimeter is 104ft, what is it's dimension?
W=width; L=length=3W; P=perimeter=2(L+W)
P=2(L+W)
104 ft=2(L+W) Divide each side by 2.
52 ft=L+W Substitute for L
52 ft=3W+W=4W divide each side by 4
13 ft=W ANSWER 1: Width is 13 ft
L=3W=3(13 ft)=39 ft ANSWER 2: Length is 39 ft.
CHECK:
2(L+W)=perimeter
2(39 ft+13 ft)=104 ft
2(52 ft)=104 ft
104 ft=104 ft
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