document.write( "Question 188688: If the length of the field is decreased by 3 meter and breadth is increased by 2 meter, then the area remains same. If the length and breadth is increased by 2 metre, then the area is increased by 50 square meter. Find the length and breadth of the field. \n" ); document.write( "
Algebra.Com's Answer #141510 by ankor@dixie-net.com(22740)\"\" \"About 
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If the length of the field is decreased by 3 meters and breadth is increased
\n" ); document.write( " by 2 meters, then the area remains same. If the length and breadth is increased
\n" ); document.write( " by 2 meters, then the area is increased by 50 square meter. Find the length and
\n" ); document.write( " breadth of the field.
\n" ); document.write( ":
\n" ); document.write( "Let L = the original length to the field
\n" ); document.write( "Let W = the original width of the field
\n" ); document.write( "then
\n" ); document.write( "L*W = the original area
\n" ); document.write( ":
\n" ); document.write( "\"If the length of the field is decreased by 3 meter and breadth is increased
\n" ); document.write( " by 2 meter, then the area remains same.\"
\n" ); document.write( "(L-3)*(W+2) = L*W
\n" ); document.write( "LW + 2L - 3W - 6 = LW
\n" ); document.write( "LW - LW + 2L - 3W = 6
\n" ); document.write( "2L - 3W = 6
\n" ); document.write( ":
\n" ); document.write( "\"If the length and breadth is increased by 2 metre, then the area is increased
\n" ); document.write( " by 50 square meter.\"
\n" ); document.write( "(L+2)*(W+2) = LW + 50
\n" ); document.write( "LW + 2L + 2W + 4 = LW + 50
\n" ); document.write( "LW - LW + 2L + 2W = 50 - 4
\n" ); document.write( "2L + 2W = 46
\n" ); document.write( ":
\n" ); document.write( "Subtract the first equation from the above equation
\n" ); document.write( "2L + 2W = 46
\n" ); document.write( "2L - 3W = 6
\n" ); document.write( "-------------subtraction eliminates L
\n" ); document.write( "5W = 40
\n" ); document.write( "W = \"40%2F5\"
\n" ); document.write( "W = 8 meters the original width
\n" ); document.write( ":
\n" ); document.write( "Use the 2nd equation to find L, substitute 8 for W:
\n" ); document.write( "2L + 2(8) = 46
\n" ); document.write( "2L = 46 - 16
\n" ); document.write( "2L = 30
\n" ); document.write( "L = 15 meters the original length
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"If the length of the field is decreased by 3 meter and breadth is increased
\n" ); document.write( " by 2 meter, then the area remains same.\"
\n" ); document.write( "(15 - 3) * (8 + 2) = 15*8
\n" ); document.write( "12 * 10 = 120
\n" ); document.write( ":
\n" ); document.write( "You can check the solutions in the statement:
\n" ); document.write( "\"If the length and breadth is increased by 2 meters, then the area is increased
\n" ); document.write( " by 50 square meter.\"
\n" ); document.write( ":
\n" ); document.write( "Any questions about this?\r
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