SOLUTION: The length of a football field is 180 feet more than its width. if the perimeter of the field is 1,060 feet ,find the length of the field. show your work

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Question 824115: The length of a football field is 180 feet more than its width. if the perimeter of the field is 1,060 feet ,find the length of the field. show your work
Found 3 solutions by TimothyLamb, stanbon, tlctech:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = y + 180
2x + 2y = 1060
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put the system of linear equations into standard form
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x - y = 180
2x + 2y = 1060
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copy and paste the above standard form linear equations in to this (matrix method) solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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answer1:
x= length = 355 ft
y= width = 175 ft
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now by substitution:
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2x + 2y = 1060
2(y + 180) + 2y = 1060
2y + 360 + 2y = 1060
4y = 700
y = 175
x = 355
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answer2:
x= length = 355 ft
y= width = 175 ft
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NOTE: the results from matrix method agrees with result from substitution
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a football field is 180 feet more than its width. if the perimeter of the field is 1,060 feet ,find the length of the field.
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Perimeter = 2(length + width)
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1060 = 2((w+180)+w)
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530 = 2w+180
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2w = 350
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width = 175 feet
length = w+180 = 175+180 = 355 feet
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Cheers,
Stan H.
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Answer by tlctech(1) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a football field is 180 feet more than its width. If the perimeter of the field is 1060 feet, find the length of the field.
X = length
Y = width
x = y + 180
2x + 2y = 1060
x – y = 180
2x + 2y = 1060
2(y + 180) + 2y = 1060
2y + 360 + 2y = 1060
4y + 360 – 360 = 1060 – 360
4y = 700

Y = 175
x = y + 180
x = 175 + 180
x = 355