SOLUTION: A children's park is 200m long and 12m wide.It is surrounded by a pathway of the same width.Suppose the total are of the park and the pathway is 25,956m². A.What is the area of t

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Question 1169599: A children's park is 200m long and 12m wide.It is surrounded by a pathway of the same width.Suppose the total are of the park and the pathway is 25,956m².
A.What is the area of the park?
B.How wide is the pathway?
C.What kind of equation is formed?
D.How can you solve the value of x?
E.What is the total length and width of the park including the pathway?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
"It is surrounded by a pathway of the same width."
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Which or what same width? Both "widths" are equal? You did not say, "of uniform width".

If you mean to say this way:
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park is 200m long and 12m wide.It is surrounded by a pathway of uniform width.
Suppose the total area of the park and the pathway is 25,956m². Find the width of the pathway surrounding the park.
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Let u be this uniform width for the surrounding pathway.
%28200%2B2u%29%2812%2B2u%29=25956

%28u%2B100%29%28u%2B6%29=6489
u%5E2%2B106u-5889=0
.
.
u=-53%2Bsqrt%288698%29