document.write( "Question 1137206: The perimeter of a rectangular field is 44m and its area is 105m^2. Find the dimension of the field. \n" ); document.write( "

Algebra.Com's Answer #755043 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"P+\"$ = perimeter
\n" ); document.write( "Let $\"+A+\"$ = area
\n" ); document.write( "Let $\"+a+\"$ = length
\n" ); document.write( "Let $\"+b+\"$ = width
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+P+=+2a+%2B+2b+\"$ m
\n" ); document.write( " $\"+2a+%2B+2b+=+44+\"$
\n" ); document.write( "(1) $\"+a+%2B+b+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+A+=+a%2Ab+\"$ m2
\n" ); document.write( "(2) $\"+a%2Ab+=+105+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+b+=+22+-+a+\"$
\n" ); document.write( "(2) $\"+a%2A%28+22+-+a+%29+=+105+\"$
\n" ); document.write( "(2) $\"+a%5E2+-+22a+=+-105+\"$
\n" ); document.write( "(2) $\"+a%5E2+-+22a+%2B+%2822%2F2%29%5E2+=+-105+%2B+%2822%2F2%29%5E2+\"$
\n" ); document.write( "(2) $\"+a%5E2+-+22a+%2B+121+=+-105+%2B+121+\"$
\n" ); document.write( "(2) $\"+%28+a+-+11+%29%5E2+=+16+\"$
\n" ); document.write( "(2) $\"+a+-+11+=+-4+\"$ ( +square root of 16 gives the wrong answer )
\n" ); document.write( "(2) $\"+a+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+22+-+7+\"$
\n" ); document.write( "(1) $\"+b+=+15+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "The dimensions are 7m by 15m
\n" ); document.write( "check:
\n" ); document.write( " $\"+105+=+a%2Ab+\"$
\n" ); document.write( " $\"+105+=+7%2A15+\"$
\n" ); document.write( " $\"+105+=+105+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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