SOLUTION: A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length a
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Question 1012808: A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used.
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Sketch the picture making the length = 2*width
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Let the width = x meters
Then the length = 2x meters
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Break the length into 2 equal sections (each section will be an x by x square
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base has 2 pieces:: x and x
top has 2 pieces:: x and x
there are 3 pieces connecting base to top:: x and x and x
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Equation:
2x + 2x + 3x = 210
7x = 210
x = 30 meters (width)
2x = 60 meters (length)
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Cheers,
Stan H.
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