SOLUTION: A rectangular field is seven times as long as it is wide. If the perimeter of the field is 800 feet, what are the dimensions of the field?

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Question 1153541: A rectangular field is seven times as long as it is wide. If the perimeter of the field is 800 feet, what are the dimensions of the field?
Answer by MathLover1(20849) About Me  (Show Source):
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let the dimensions of the field be L and W
if a rectangular field is seven times as long as it is wide, we have
L=7W.......eq.1

if the perimeter of the field is P=800 feet,we have
2%28L%2BW%29=800
L%2BW=400 ......eq.2, substitute L from eq.1

7W%2BW=400
8W=400
W=400%2F8
W=50
go to
L=7W.......eq.1, plug in W
L=7%2A50
L=350


answer: the dimensions of the field are 350 by +50