document.write( "Question 200250: A square field had 5 meters added to its length and 2 meters added to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field. \r
\n" ); document.write( "\n" ); document.write( "The equation I came up with is n+5(n+2)= 130^2. At which point I am unfamiliar with how to solve this. \n" ); document.write( "

Algebra.Com's Answer #150553 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
The area is 130 square meters. Not 130^2. Area is always in some sort of squared linear measure.
\n" ); document.write( "Now expand
\n" ); document.write( " $\"%28n%2B5%29%28n%2B2%29=+130\"$
\n" ); document.write( " $\"n%5E2+%2B+7n+%2B+10+=+130\"$
\n" ); document.write( " $\"n%5E2+%2B+7n+-120+=+0\"$
\n" ); document.write( " $\"%28n%2B15%29%28n-8%29+=+0\"$
\n" ); document.write( "So the possible lengths are -15 and 8. Since a length can't be negative, the original field was 8 meters on each side.
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