document.write( "Question 1182929: What’s the answer to this problem \r
\n" ); document.write( "\n" ); document.write( "A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 feet wide on all sides. The length of the sandbox is 4 feet more than the width, and the
\n" ); document.write( "total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox. \n" ); document.write( "

Algebra.Com's Answer #813055 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 feet wide on all sides.
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document.write( "Let  x  be the width of the large rectangle, in feet; then its length is  (x+4)  feet.\r\n" );
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document.write( "The area equation is\r\n" );
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document.write( "    x*(x+4) = 189.\r\n" );
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document.write( "It gives\r\n" );
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document.write( "    x^2 + 4x - 189 = 0\r\n" );
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document.write( "     = \r\n" );
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document.write( "You need the positive root, ONLY :  x = 11.892 (approximately).\r\n" );
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document.write( "So, the dimensions of the large rectangle are  11.892 ft  and  11.892+4 = 15.892 ft.\r\n" );
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document.write( "The dimensions of the sandbox are 5*2 = 10 ft less than these values.\r\n" );
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document.write( "ANSWER.  The dimensions of the sandbox are  11.892 - 10 = 1.892 ft  and  15.892 - 10 = 5.892 ft.\r\n" );
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