SOLUTION: A cement walk of uniform width surrounds a rectangular pool that is 10 m wide and 50 m long. Find the width of the walk if its area is 864 m�.

Question 947519: A cement walk of uniform width surrounds a rectangular pool that is 10 m wide and 50 m long. Find the width of the walk if its area is 864 m�.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
u, the uniform width around the pool
w, the width of the pool
L, length of the pool
A, the area of just the walk area of uniform width u.
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UNKNOWN: u
KNOWN: w=10, L=50, A=864

Note: sometimes, variables can be assigned differently, mostly depending on the person analyzing the problem.

Draw the picture (not shown here).

Total Area pool and walkway:
Walkway Area only:
Walkway Area IS known:

The green-highlighted equation, purely in symbolic form can be simplified and is a quadratic equation in the unknown variable, u. The rest is up to you to continue.
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