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