document.write( "Question 65711: A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?\r
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Algebra.Com's Answer #46411 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The garden area is \"30%2A20+=+600\"
\n" ); document.write( "When the path around it is made, \"400\" is left
\n" ); document.write( "for the garden
\n" ); document.write( "If the width of the path is x, the area, \"400\"
\n" ); document.write( "is \"%2830+-+2x%29%2A%2820+-+2x%29\"
\n" ); document.write( "\"%2830+-+2x%29%2A%2820+-+2x%29+=+400\"
\n" ); document.write( "\"600+-+40x+-+60x+%2B+4x%5E2+=+400\"
\n" ); document.write( "\"4x%5E2+-100x+%2B+200+=+0\"
\n" ); document.write( "\"x%5E2+-+25x+%2B+50+=+0\"
\n" ); document.write( "solve with quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-%28-25%29+%2B-+sqrt%28+%28-25%29%5E2-4%2A1%2A50+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%2825+%2B-+sqrt%28625-200+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%2825+%2B-+sqrt%28425%29%29%2F2+\"
\n" ); document.write( "\"x+=+%2825+%2B-+20.616%29%2F2\"
\n" ); document.write( "\"x+=+12.5+-+10.308\"
\n" ); document.write( "\"x+=+2.192\" ft, answer
\n" ); document.write( "check
\n" ); document.write( "\"%2830+-+2x%29%2A%2820+-+2x%29+=+400\"
\n" ); document.write( "\"%2830+-+2%2A2.192%29%2A%2820+-+2%2A2.192%29+=+400\"
\n" ); document.write( "\"%2830+-+4.384%29%2A%2820+-+4.384%29+=+400\"
\n" ); document.write( "\"25.616%2A15.616+=+400\"
\n" ); document.write( "\"400+=+400\"
\n" ); document.write( "Unless I goofed, that's it
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