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The length of a football feild is 180 feet more than it's width. if the perimeter of the feild is 1,060 feet, find the length of the feild

the length of a football feild is 180 feet more than it's width. if the perimeter of the feild is 1,060 feet, find the length of the feild

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Wahaj C. | Experienced NYS Math Regents Exam, SAT Math, and Science TutorExperienced NYS Math Regents Exam, SAT M...
4.8 4.8 (152 lesson ratings) (152)
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First we have to know that a football field is a rectangle so the opposite sides are equal to each other.
 
 
so lets say that
 
width = x
then
length = x + 180 
 
2(length) + 2(width) = Perimeter
 
2(x + 180) + 2(x) = 1060
 
2x + 360 + 2x = 1060
 
4x + 360 = 1060
     - 360     -360
 
 4x = 700
 4        4
 
x = 175 ft.
 
 
Now we know that width = 175 ft
 
so, length = x + 180
      
     length = 175 + 180
 
     length = 355 ft
 
 
Check,
 
2(355) + 2(175) = 1060
 
710 + 350 = 1060
 
1060 = 1060