Question 1057151: The length of a new rectangular playing field is 7yards longer than quadruple the width. If the perimeter of the rectangular playing field is 564 yards, what are its dimensions?
Answer by ikleyn(52775) (Show Source):
You can put this solution on YOUR website! .
The length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular
playing field is 564 yards, what are its dimensions?
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Let L be the length, and W be the width.
The condition says
L = 4W + 7.
Then the perimeter is
2L + 2W = 2*(4W+7) + 2W = 8W + 14 + 2W = 10W + 14.
And the equation is
10W + 14 = 564, or
10W = 564 - 14,
10W = 550,
W = 55 yards.
Now you find L.
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