SOLUTION: The length of a new rectangular playing field is is 6 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 602 yards, what are its dimensions

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Question 1109932: The length of a new rectangular playing field is is 6 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 602 yards, what are its dimensions?
thank you for your help

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let l be length and w be width
:
l = 4w + 6
:
2l + 2w = 602
:
2(4w+6) +2w = 602
:
8w +12 +2w = 602
:
10w = 590
:
w = 59
:
l = 4(59) + 6 = 242
:
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length is 242 yards and width is 59 yards
:
check answer
:
2(242) +2(59) = 602
:
484 +118 = 602
:
602 = 602
:
answer checks
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