document.write( "Question 1168806: Can I please have help with this question? Thank you in advance. \r
\n" ); document.write( "\n" ); document.write( "A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the rectangular area if the length is 3 feet more than 3 times the width and the area is 396 square feet. \n" ); document.write( "

Algebra.Com's Answer #793457 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let w be the width, in feet;  then the length is  (3w+3) feet.\r\n" );
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document.write( "The area equation is\r\n" );
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document.write( "    w*(3w+3) = 396.\r\n" );
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document.write( "To solve it, cancel the common factor 3 in both sides.  You will get then\r\n" );
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document.write( "    w*(w+1) = 132.\r\n" );
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document.write( "From this point, there are 2 ways to complete the solution.\r\n" );
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document.write( "1)  You may reduce the last equation to the standard form quadratic equation and then solve it \r\n" );
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document.write( "    using either the quadratic formula or factoring.\r\n" );
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document.write( "2)  Or you may guess MENTALLY two factors of the number 132 that differ by one unit\r\n" );
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document.write( "     132 = 11*12.\r\n" );
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document.write( "By doing this way, you obtain the ANSWER momentarily:\r\n" );
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document.write( "    The width is 11 feet; the length is 3*11 + 3 = 36 feet.\r\n" );
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