document.write( "Question 186002: If the sides of a swuare ae lengthened by 7 cm, the area becomes 144 cm^2. Find the lenght of a side of the original square. I come up with 29 cm for the answer but not sure if this is correct. Can you help me with this. I thank you in advance for all your help. \n" ); document.write( "
Algebra.Com's Answer #139484 by Edwin McCravy(20056)\"\" \"About 
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If the sides of a swuare ae lengthened by 7 cm, the area becomes 144 cm^2. Find the lenght of a side of the original square. I come up with 29 cm for the answer but not sure if this is correct. Can you help me with this. I thank you in advance for all your help.
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document.write( "No, the length of a side of the original square was only 5 cm. \r\n" );
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document.write( "We start with this little square with 5 cm on a side:\r\n" );
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document.write( "\"drawing%28175%2C175%2C1%2C7%2C1%2C7%2Cgrid%281%29%29+\" \r\n" );
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document.write( "and then if we increase the sides by 7 cm each, we get \r\n" );
document.write( "this large square, which we can easily see has an area \r\n" );
document.write( "of 144 little square centimeters.\r\n" );
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document.write( "\"drawing%28375%2C375%2C1%2C14%2C1%2C14%2Cgrid%281%29%29+\"\r\n" );
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document.write( "Here is how to work it out:\r\n" );
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document.write( "Let x cm be the length of a side of the original square.\r\n" );
document.write( "Then when we increase the length of a side by 7 cm, each\r\n" );
document.write( "side will then be x+7 cm.  Then we use the formula for\r\n" );
document.write( "the area of a square, \r\n" );
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document.write( "\"Area+=+side%5E2\"\r\n" );
document.write( "\"144+=+%28x%2B7%29%5E2\"\r\n" );
document.write( "Take square roots of both sides:\r\n" );
document.write( "\"sqrt%28144%29+=+sqrt%28%28x%2B7%29%5E2%29\"\r\n" );
document.write( "\"12+=+x%2B7\"\r\n" );
document.write( "Subtract 7 from both sides\r\n" );
document.write( "\"5+=+x\"\r\n" );
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document.write( "So the original square was 5 cm om a side.\r\n" );
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document.write( "Edwin
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