document.write( "Question 912108: When the width is (n+2) the height is 3 less than (n+2) and the area is 119 what is n? \n" ); document.write( "
Algebra.Com's Answer #553588 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "When the width is \"W=+%28n%2B2%29+\" the height (or length) is \"3\" less than \"W=%28n%2B2%29\", the \"L=W-3=+%28n%2B2%29-3\"\r
\n" ); document.write( "\n" ); document.write( " and the area is \"A=119\" \r
\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "\"A=L%2AW\" \r
\n" ); document.write( "\n" ); document.write( "\"A=%28%28n%2B2%29-3%29%2A%28n%2B2%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"119=%28n%2B2-3%29%2A%28n%2B2%29\" ...solve for \"n\"\r
\n" ); document.write( "\n" ); document.write( "\"119=%28n-1%29%2A%28n%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"119=n%5E2%2B2n-n-2\"\r
\n" ); document.write( "\n" ); document.write( "\"0=n%5E2%2Bn-2-119\"\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2%2Bn-121=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"n+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-121%29+%29%29%2F%282%2A1%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"n+=+%28-1+%2B-+sqrt%28+1%2B484%29%29%2F2+\"
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\n" ); document.write( "\"n+=+%28-1+%2B-+sqrt%28+485%29%29%2F2+\" \r
\n" ); document.write( "\n" ); document.write( "\"n+=+%28-1+%2B-+22.02271554554524+%29%2F2+\" \r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"n+=+%28-1+%2B+22.02271554554524+%29%2F2+\" \r
\n" ); document.write( "\n" ); document.write( "\"n=21.02271554554524%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"n=10.51135777277262\" ....since we dealing with width and length, we need only positive solution \r
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\n" ); document.write( "\n" ); document.write( "the width: \"W=%28n%2B2%29\" => \"W=%2810.51135777277262%2B2%29\" =>\"W=12.51135777277262\" \r
\n" ); document.write( "\n" ); document.write( "the length: \"L=W-3=+12.51135777277262-3\" => \"L=+9.51135777277262\" \r
\n" ); document.write( "\n" ); document.write( "\"A=L%2AW\" => \"119=9.51135777277262%2A12.51135777277262\" =>\"119=119\" \r
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