The length of a new rectangular playing field is 9 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 438 ​yards, what are its​ dimensions?

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The perimeter of a rectangle is twice the sum of its length and width, so we halve the perimeter to find the sum: 219 yards. If we call the width w, then w+4w+9=219, so 5w=210 and w=42 yards. This makes the length 168+9=177 yards.

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