SOLUTION: A rectangular piece of land has been claimed using a 160 yard cord. If the length of this rectangular lot is 20 yards more than twice it's width, then what are the dimensions of th
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Question 1058717: A rectangular piece of land has been claimed using a 160 yard cord. If the length of this rectangular lot is 20 yards more than twice it's width, then what are the dimensions of the lot Answer by ikleyn(52780) (Show Source):
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A rectangular piece of land has been claimed using a 160 yard cord. If the length of this rectangular lot
is 20 yards more than twice it's width, then what are the dimensions of the lot
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If "w" represents the width, then the length is 2w+20.
The perimeter is (2w+20) + w + (2w+20) + w = 6w + 40.
Hence, the equation is 6w + 40 = 160, ---> 6w = 120 ---> w = {{120/6}}} = 20.
Answer. The width is 20 ft. The length is 2w + 20 = 2*20+20 = 60 ft.