document.write( "Question 111579: One side of this rectangle has a length of 12cm. The other side has a length of 2x+1 cm. The perimeter of the rectangle is 46 cm. Find the length of the unknown sides. \n" ); document.write( "
Algebra.Com's Answer #81372 by jim_thompson5910(35256)\"\" \"About 
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Remember the perimeter of a rectangle is \"P=2W%2B2L\". Since we know the length is 12, the width is 2x+1, and the perimeter is 46, we can plug this info into the formula\r
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\n" ); document.write( "\n" ); document.write( "\"46=2%282x%2B1%29%2B2%2812%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"46=2%282x%2B1%29%2B24\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"46=4x%2B2%2B24\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"46=4x%2B26\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"0=4x%2B26-46\"Subtract 46 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=26-46\" Subtract 4x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=-20\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-20%29%2F%28-4%29\" Divide both sides by -4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=5\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=5\" \r
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\n" ); document.write( "\n" ); document.write( "Now plug this into 2x+1\r
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\n" ); document.write( "\n" ); document.write( "\"2%285%29%2B1=10%2B1=11\"\r
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\n" ); document.write( "\n" ); document.write( "So this means the width is 11\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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\n" ); document.write( "\n" ); document.write( "2(12)+2(11)=24+22=46...works
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