SOLUTION: Help I am so confused! If 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.

Algebra ->  Rectangles -> SOLUTION: Help I am so confused! If 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.       Log On


   

Question 828679: Help I am so confused!
If 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.
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 linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution by matrix method:
x = length = 355 ft
y = width = 175 ft
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now by substitution method:
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x = y + 180
2x + 2y = 1060
2(y + 180) + 2y = 1060
2y + 360 + 2y = 1060
y = (1060 - 360)/4
y = 175
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x = 175 + 180
x = 355
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solution by substitution method:
x = length = 355 ft
y = width = 175 ft
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