document.write( "Question 105084: Good evening tutor can you tell me if I have this problem correct? \r
\n" ); document.write( "\n" ); document.write( "THe length of the retangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm^2, find the width of the rectangle to the nearest hundredth. \r
\n" ); document.write( "\n" ); document.write( "Could you tell me if the answer is 3.41 cm? Thanks for your help. \n" ); document.write( "
Algebra.Com's Answer #76455 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Your answer is correct.
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\n" ); document.write( "The method is:
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\n" ); document.write( "Length = 5*w + 2
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\n" ); document.write( "Width = w
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\n" ); document.write( "Area = L * w = 65 sq cm
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\n" ); document.write( "Multiply L * w and set it equal to the area to get the equation:
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\n" ); document.write( "(L * w) = 65
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\n" ); document.write( "Substitute 5*w + 2 for L to change the equation to:
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\n" ); document.write( "(5w + 2)*w = 65
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\n" ); document.write( "Multiply out the left side:
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\n" ); document.write( "\"5w%5E2+%2B+2w+=+65\"
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\n" ); document.write( "Subtract 65 from both sides:
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\n" ); document.write( "\"5w%5E2+%2B+2w+-+65+=+0\"
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\n" ); document.write( "Apply the quadratic formula to solve for w. When you do you get:
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\n" ); document.write( "\n" ); document.write( "\"w+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A5%2A%28-65%29+%29%29%2F%282%2A5%29+\"
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\n" ); document.write( "The term in the radical simplifies to:
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\n" ); document.write( "\"sqrt%284+-+%28-1300%29%29+=+sqrt%281304%29+=+36.1109\"
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\n" ); document.write( "Substituting this for the radical results in:
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\n" ); document.write( "\"w+=+%28-2+%2B-+36.1109%29%2F%282%2A5%29+\"
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\n" ); document.write( "If you let the +- sign be negative you get a negative answer for w. That doesn't make sense
\n" ); document.write( "so we just use the + sign to get:
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\n" ); document.write( "\"w+=+%28-2+%2B+36.1109%29%2F10+=+%2B34.1109%2F10+=+3.41109\" and this rounds to 3.41 cm.
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\n" ); document.write( "This agrees with your answer, so you are correct.
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