SOLUTION: If I have 30 square meters of pavers, how wide a border can I put around a swimming pool with an outside diameter of 6 metres, Anyone who can even tell me how to work it out would

Question 893208: If I have 30 square meters of pavers, how wide a border can I put around a swimming pool with an outside diameter of 6 metres, Anyone who can even tell me how to work it out would be helpful also

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If I have 30 square meters of pavers, how wide a border can I put around a swimming pool with an outside diameter of 6 metres,
:
let x = the width of the circular border area you wish to pave
then
(x+3) = the radius of the circular area which includes the pool and the border
:
Overall area - pool area = paved area (given as 30 sq/m)

divide thru by pi and we have
(x+3)^2 - 9 = 9.55
(x+3)^2 = 18.55
FOIL (x+3)(x+3)
x^2 + 6x + 9 = 18.55
Form a quadratic equation
x^2 + 6x + 9 - 18.55 = 0
x^2 + 6x - 9.55 = 0
Use the quadratic formula to find x, I got
x = -7.3, not a valid solution here
and
x = 1.3 meters is the width of the border to utilize all 30 sq/ft of pavers
:
:
Lets be sure about this, find the overall area and the area of the pool
pi*4.3^2 = 58.1 sq/m
pi*3^2 = 28.3 sq/m
-------------------
differ = 29.8 sq/m, not exactly 30 because of rounding decimals
Perhaps to be on the safe side make the width 1.25 meters or 125 cm
This should get you close, I don't know the width of the pavers, that
has to be considered here too
:
Please let me know how this works out. ankor@att.net
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