Question 864900: The perimeter of a soccer field is 316 meters. The area is 5,985 square meters. What are the dimensions of the field? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
2x+2y=p, xy=A,
Substitute into A equation. Use the one which makes sense, usually with the postive or add square root.
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Return to perimeter OR area equation and calculate for y. .
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Compute x and y using the given values in the problem description.
You can put this solution on YOUR website! The perimeter of a soccer field is 316 meters. The area is 5,985 square meters. What are the dimensions of the field?
2L + 2W = 316____2(L + W) = 2(158)____L + W = 158_____L = 158 - W ----- eq (i)
LW = 5,985 ------------- eq (ii)
W(158 - W) = 5,985 ----- Substituting 158 - W for L in eq (ii)
(W - 95)(W - 63) = 0
W, or width = 95 OR W = 63
Dimensions: by
You can do the check!!
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