SOLUTION: You are going to built a rectangle pool with uniform walkway around it. The total area for the pool and walkway is 1800 square ft. If the pool is 16X30, what is the uniform width o

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Question 997211: You are going to built a rectangle pool with uniform walkway around it. The total area for the pool and walkway is 1800 square ft. If the pool is 16X30, what is the uniform width of the walkway?
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Make a picture and label everything.

w width of pool, L length of pool, A the total area of walkway and pool, x uniform width of the walkway.

system%28w=16%2CL=30%2CA=1800%29

The unknown variable is the uniform walkway width, x.


Main starting equation: highlight_green%28%28w%2B2x%29%28L%2B2x%29=A%29.
Try to solve in symbols as far as possible.
wL%2B2Lx%2B2wx%2B4x%5E2-A=0
4x%5E2%2B%282L%2B2w%29x%2BwL-A=0
You can keep going, but you might feel more comfortable plugging in the given values now and then simplify that resulting equation before finish solving for x.