document.write( "Question 556037: A man is planning to fence the front of his property with posts 2 m apart. Short of money he decides to make the posts 3 m apart and uses 3 posts less. How wide is the property? \n" ); document.write( "

Algebra.Com's Answer #362024 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = the number of posts used when they are 2 m apart
\n" ); document.write( "There has to be a post at each end
\n" ); document.write( "so, the number of spaces between posts
\n" ); document.write( "is 1 less than the number of posts
\n" ); document.write( "given:
\n" ); document.write( "width = $\"+%28+n+-+1%29%2A2+\"$ m
\n" ); document.write( "width = $\"+%28+n+-+3+-+1+%29%2A3+\"$ m
\n" ); document.write( " $\"+%28+n+-+1+%29%2A2+=+%28+n+-+4+%29%2A3+\"$
\n" ); document.write( " $\"+2n+-+2+=+3n+-+12+\"$
\n" ); document.write( " $\"+n+=+12+-+2+\"$
\n" ); document.write( " $\"+n+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "width = $\"+%28+n+-+1+%29%2A2+\"$
\n" ); document.write( "width = $\"+%28+10+-+1+%29%2A2+\"$
\n" ); document.write( "width = $\"+18+\"$
\n" ); document.write( "The width of the property is 18 m
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+n+-+1+%29%2A2+=+%28+n+-+4+%29%2A3+\"$
\n" ); document.write( " $\"+%28+10+-+1+%29%2A2+=+%28+10+-+4+%29%2A3+\"$
\n" ); document.write( " $\"+18+=+18+\"$
\n" ); document.write( "OK \n" ); document.write( "

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