document.write( "Question 205155: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page. \n" ); document.write( "
Algebra.Com's Answer #154875 by ankor@dixie-net.com(22740)\"\" \"About 
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A rectangular scrapbook page has an area of 180 inches squared.
\n" ); document.write( " If the length of the page is two less than twice the width, find the width of the page.
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\n" ); document.write( "Let x = the width
\n" ); document.write( "it says,\"the length of the page is two less than twice the width,\" therefore;
\n" ); document.write( "(2x - 2) = the length
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\n" ); document.write( "Area = width * length, = 180, therfore:
\n" ); document.write( "x(2x - 2) = 180
\n" ); document.write( "2x^2 - 2x - 180 = 0
\n" ); document.write( "A quadratic equation, simplify, divide by 2
\n" ); document.write( "x^2 - x - 90 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-10)(x+9) = 0
\n" ); document.write( "the positive solution is what we want here
\n" ); document.write( "x = 10\" is the width
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\n" ); document.write( "Is this true?
\n" ); document.write( "Length = 2(10) - 2 = 18
\n" ); document.write( "18 * 10 = 180
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