document.write( "Question 1158846: A 2 ft. wide path is made around a square garden. The path is 376 sq. ft. in area. Determine a side of the garden.\r
\n" ); document.write( "\n" ); document.write( "S = side \r
\n" ); document.write( "\n" ); document.write( "Area of garden; S * S = S^2\r
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\n" ); document.write( "\n" ); document.write( "Not sure how to proceed.\r
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Algebra.Com's Answer #781828 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The square garden is s feet on a side; its area is s^2.

\n" ); document.write( "With the path 2 feet wide around the garden, the garden plus path makes a square (s+4) feet on a side.

\n" ); document.write( "The area of the path (376 sq ft) is the area of the garden plus path, minus the area of the garden:

\n" ); document.write( "\"376+=+%28s%2B4%29%5E2+-+s%5E2\"
\n" ); document.write( "\"376+=+s%5E2%2B8s%2B16-s%5E2\"
\n" ); document.write( "\"376+=+8s%2B16\"
\n" ); document.write( "\"360+=+8s\"
\n" ); document.write( "\"s+=+45\"

\n" ); document.write( "You can come up with the same equation to solve using common sense instead of formal algebra.

\n" ); document.write( "With s the length of a side of the garden, the 2 foot wide path consists of a strip with area 2 times s on each of the four sides, plus a 2-by-2 square in each corner; the total area of the path is 376 sq ft:

\n" ); document.write( "\"4%282s%29%2B4%282%2A2%29+=+376\"
\n" ); document.write( "\"8s%2B16+=+376\"

\n" ); document.write( "Same equation as before....

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