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
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document.write( "S = side \r
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document.write( "Area of garden; S * S = S^2\r
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document.write( "Not sure how to proceed.\r
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Algebra.Com's Answer #781828 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \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( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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( " \n" ); document.write( " \n" ); document.write( "Same equation as before.... \n" ); document.write( " \n" ); document.write( " |