SOLUTION: A rectangular field is two times as long as it is wide. If the perimeter of the field is 360 feet, what are the dimensions of the field?
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Question 503617: A rectangular field is two times as long as it is wide. If the perimeter of the field is 360 feet, what are the dimensions of the field?
Answer by nic0le116(25) (Show Source): You can put this solution on YOUR website!
I always recommend drawing a picture for word problems like this.
What can we say the width equals at this point? It is X
What can we say about the length at this points? It is 2x
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Perimeter=the sum of all the sides.
So at this point the information we have is 2x+2x+x+x
(since all we know about the side is x(we don't know this value) and that the length is two times as long (2x)
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Set up the equation with all the information we currently have
2x+2x+x+x=360 (combine like terms)
6x=360 (divide 6 on both sides to get x alone)
x=60
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With this information, we now know the length and width.
Width=60
Since we had our length as 2x. Multiply 60 by 2
Width=60
Length=120
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If you want to check add it all up!
60+60+120+120=360
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