SOLUTION: A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 72 216 square meters. How wide is

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 72 216 square meters. How wide is      Log On


   

Question 1096662: A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 72 216 square meters. How wide is the pathway?
Answer by josgarithmetic(39613) About Me  (Show Source):
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A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 72 216 square meters. How wide is the pathway?
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* Description seems to mean 72216 square meters total area.

x, the uniform width of the pathway

highlight_green%28%282x%2B30%29%282x%2B200%29=72216%29

-

4%28x%2B15%29%28x%2B100%29=72216
%28x%2B15%29%28x%2B100%29=18054
x%5E2%2B15x%2B100x%2B1500-18054=0
x%5E2%2B115x-16554=0

x=%28-15%2B-+sqrt%28115%5E2%2B4%2A16554%29%29%2F2
x=%28-15%2B-+sqrt%2879441%29%29%2F2
* Maybe misunderstanding part of the problem description...