SOLUTION: Megan's background has a small pond that is 15 feet by 10 feet. Her mother wants her to add a wooden pathway around the pond, so that the total area of the pool and deck is 234 ft^
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Question 635542: Megan's background has a small pond that is 15 feet by 10 feet. Her mother wants her to add a wooden pathway around the pond, so that the total area of the pool and deck is 234 ft^2. How wide does the pathway need to be to fulfill Megan's mom's request?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
is the measure of the width of the walkway, then the over all length must be 
and the overall width must be 
(because the deck is on all four sides).
Since area is given by length times width:
(2x\ +\ 10)\ =\ 234)
FOIL the two binomials, then put the quadratic into standard form. Solve for but discard the negative root. (unless you want to build the deck out of anti-matter and give it a negative dimension that is).
John
My calculator said it, I believe it, that settles it
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