document.write( "Question 133122: \r
\n" ); document.write( "\n" ); document.write( "A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walkway of uniform width(uniform = the same all around). The area of the walk way happens to equal the area of the pool.
\n" ); document.write( "a. What is the area of the pool?
\n" ); document.write( "b. What is the width of the walkway?
\n" ); document.write( "c. What is the area of the walk way?\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help.
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Algebra.Com's Answer #97361 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
6*10=60 SQUARE METERS IS THE AREA OF THE POOL.
\n" ); document.write( "THE AREA OF THE WALKWAY PLUS THE WALKWAY IS 2860=120 SQUARE METERS.
\n" ); document.write( "(6+2X)(10+2X)=120
\n" ); document.write( "60+20X+12X+4X^2=120
\n" ); document.write( "4X^2+32X+60-120=0
\n" ); document.write( "4X^2+32X-60=0
\n" ); document.write( "4(X^2+8X-15)=0
\n" ); document.write( "USING THE QUADRATIC EQUATION:\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" WE GET:
\n" ); document.write( "X=(-8+-SQRT[8^2-4*1*-15])/281
\n" ); document.write( "X=(-8+-SQRT[64+60])/2
\n" ); document.write( "X=(-8+-SQRT124)/2
\n" ); document.write( "X=(-8+-11.1355)/2
\n" ); document.write( "X=(-8+11.1355)/2
\n" ); document.write( "X=3.1355/2
\n" ); document.write( "X=1.568 METERS IS THE WIDTH OF THE WALKWAY.
\n" ); document.write( "1.568(10+2*1.568)*2+2(8+1.568)
\n" ); document.write( "1.568(10+3.136)*2+2(9.568)
\n" ); document.write( "1.568(13.136)*2+19.14
\n" ); document.write( "1.568*26.27+19.14
\n" ); document.write( "41.19+19.14
\n" ); document.write( "60.32 ANSWER FOR THE AREA OF THE WALKWAY (SHOULD BE 60-EXCESS DUE TO ROUNDING) \r
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