document.write( "Question 1076140: the perimeter of the rectangle if the width is twice the root of the length and the area is 250 \n" ); document.write( "
Algebra.Com's Answer #837927 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "\"highlight%28Find%29\" the perimeter of the rectangle if the width is twice the root of the length and the area is 250.
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\n" ); document.write( "\n" ); document.write( "        The answer in the post by @mananth is correct,  but on the way he made errors
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\n" ); document.write( "        Read my solution attentively;  watch every my step and find the differences between
\n" ); document.write( "        my solution and that by @mananth.\r
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document.write( "Let the length be x.\r\n" );
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document.write( "Then the width = \"2%2Asqrt%28x%29\".\r\n" );
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document.write( "Area = 250:  \"x%2A2sqrt%28x%29\" = 250.\r\n" );
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document.write( "Square both sides\r\n" );
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document.write( "    4x^3 = 250*250,\r\n" );
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document.write( "    x^3 = 125*125 = \"5%5E3%2A5%5E3\" = \"25%5E3\",\r\n" );
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document.write( "    x = \"root%283%2C25%5E3%29\" = 25  the length.\r\n" );
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document.write( "    width = \"2%2Asqrt%28x%29\" = \"2%2Asqrt%2825%29\" = 2*5 = 10.\r\n" );
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document.write( "    the width = 10.\r\n" );
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document.write( "The perimeter = 25 + 10 + 25 + 10 = 70.    ANSWER\r\n" );
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