document.write( "Question 859080: We are in the section of solving equations by factoring.
\n" ); document.write( "The question is: the length of the rectangle is 3 meters more than 2 times the width. If the area is 65 square meters, find the width and length.\r
\n" ); document.write( "\n" ); document.write( "I keep getting fractions as answers, I know the equation for the Area of a rectangle is A=LW.
\n" ); document.write( "I keep plugging in 2x+3 but I am not getting the correct answer please help with the set up of the equation. Thank you.
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Algebra.Com's Answer #517570 by Awesom3guy(31)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"A+=+L%2AW\"
\n" ); document.write( "Now plug in \"2W%2B3\" instead of L
\n" ); document.write( "\"A+=+%282W%2B3%29%2AW\"
\n" ); document.write( "\"65+=+2W%5E2+%2B+3W\"\r
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\n" ); document.write( "\n" ); document.write( "Now put the equation in standard form.
\n" ); document.write( "\"2W%5E2+%2B+3W+-+65+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "You want to factor. Separate the middle term into two parts:
\n" ); document.write( "\"2W%5E2+-+10W+%2B+13W+-+65+=+0\"
\n" ); document.write( "Factor the sides:
\n" ); document.write( "\"2W%28W+-+5%29+%2B+13%28W+-+5%29+=+0\"
\n" ); document.write( "Factor the bracket and what's not in it:
\n" ); document.write( "\"%282W+%2B+13%29%28W-5%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "Now what we have is two options:
\n" ); document.write( "\"2W+%2B+13+=+0\", which gives that W equals -6.5, which is clearly not right.
\n" ); document.write( "\"W+-+5+=+0\", which gives that W equals 5.\r
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\n" ); document.write( "\n" ); document.write( "Now, from \"65+=+L%2AW\", compute for L.
\n" ); document.write( "\"L+=+65%2FW+=+65%2F5+=+13\"\r
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\n" ); document.write( "\n" ); document.write( "Width of the triangle is 5 m and its length is 13 m. Also check.
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