SOLUTION: A childrens park is 3500m long and 200m wide. It is sorrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 74,464mē. How wide is the pathwa

Algebra.Com
Question 988221: A childrens park is 3500m long and 200m wide. It is sorrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 74,464mē. How wide is the pathways. Thank you
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
A childrens park is L long and w wide. It is sorrounded by a pathway of uniform width, u.
Suppose the total area of the park and the pathway is T square meters. How wide is the pathway?

VARIABLES


Park Area, wL
Combined Park Area and Pathway, (w+2u)(L+2u)
Combined Park Area and Pathway, T
----Basic Starting Equation in Symbolic Form

STEPS TOWARD SOLVING FOR u


----Quadratic equation in the unknown variable, u.

Continue as far as you can or want in purely symbolic form, and substitute the given values
when you are ready to finish. The question asks for u, the value of the uniform pathway width.


----
If you continue to find u completely symbolically, you should find the formula

which is simplification from the general formula of a quadratic equation.
RELATED QUESTIONS

A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform... (answered by josgarithmetic)
A children's park is 200m long and 12m wide.It is surrounded by a pathway of the same... (answered by josgarithmetic)
Please help me solve this problem: A children's park is 350 m long and 200 m wide. It is... (answered by ikleyn)
The outside dimension of rectangular flower bed including the pathway is 100cm by 136cm... (answered by josgarithmetic)
If the outside dimention of the rectangle flower garden bed including the pathway is 72... (answered by josgarithmetic)
The outside dimension of a rectangular flower bed including the pathway are 72 cm by 108... (answered by josgarithmetic)
The local park measures 60 m by 50 m. Part of the park is torn up to install a sidewalk... (answered by rothauserc,ikleyn)
A pool is 30 30 feet wide and 40 40 feet long is to be surrounded by a pathway x (answered by ikleyn)
The area of a pathway is 5.46 meters squared the width is 78 cm how long is the... (answered by ankor@dixie-net.com)