document.write( "Question 1091397: There is a narrow rectangular plot reserved for a school,in Mahuli village.The length and breadth of the plot are in the ratio 11:4.At the rate of Rs 100 per metre it will cost the village Panchayat Rs 75000 to fence the plot.what are the dimensions of the plot??? \n" ); document.write( "

Algebra.Com's Answer #705836 by josmiceli(19441) $\"\"$ $\"About$

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Find the total meters of fence needed
\n" ); document.write( "In words:
\n" ); document.write( "[ total cost ] / [ cost/meter ] = [ meters ]
\n" ); document.write( " $\"+75000+%2F+100+=+750+\"$ m
\n" ); document.write( "-----------------------------
\n" ); document.write( "Let the length = $\"+a+\"$
\n" ); document.write( "Let the breadth = $\"+b+\"$
\n" ); document.write( "(1) $\"+2a+%2B+2b+=+750+\"$
\n" ); document.write( "(2) $\"+11%2F4+=+a%2Fb+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+11b+=+4a+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2a+=+750+-+2b+\"$
\n" ); document.write( "(1) $\"+a+=+%281%2F2%29%2A%28+750+-+2b+%29+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+11b+=+4%2A%281%2F2%29%2A%28+750+-+2b+%29+\"$
\n" ); document.write( "(2) $\"+11b+=+2%2A%28+750+-+2b+%29+\"$
\n" ); document.write( "(2) $\"+11b+=+1500+-+4b+\"$
\n" ); document.write( "(2) $\"+15b+=+1500+\"$
\n" ); document.write( "(2) $\"+b+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+%281%2F2%29%2A%28750+-+2b+%29+\"$
\n" ); document.write( "(1) $\"+a+=+%281%2F2%29%2A%28+750+-+200+%29+\"$
\n" ); document.write( "(1) $\"+a+=+%281%2F2%29%2A550+\"$
\n" ); document.write( "(1) $\"+a+=+275+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "The dimensions are 275 x 100
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( "Total length was $\"+750+\"$ m
\n" ); document.write( "(1) $\"+2a+%2B+2b+=+750+\"$
\n" ); document.write( "(1) $\"+2%2A275+%2B+2%2A100+=+750+\"$
\n" ); document.write( "(1) $\"+550+%2B+200+=+750+\"$
\n" ); document.write( "(1) $\"+750+=+750+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+11b+=+4a+\"$
\n" ); document.write( "(2) $\"+11%2A100+=+4%2A275+\"$
\n" ); document.write( "(2) $\"+1100+=+1100+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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