document.write( "Question 845912: The perimeter of a rectangular field is surrounded by 74 meters of fencing. If the field is partitioned into two parts as shown, a total of 91 meters of fencing is required. Find the dimensions of the field. \n" ); document.write( "
Algebra.Com's Answer #509477 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! How shown? Tutor will take a guess. Assumption is that partition is parallel to one of the rectangle's sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "WHOLE rectangle: x for width, y for length. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplifying those, the system to solve is: \n" ); document.write( "2x+3y=91 and x+y=37; \n" ); document.write( "or same system as \n" ); document.write( "2x+3y=91 and 2x+2y=74 because the simplification on the \"74\" equation was not needed if Elimination Method is chosen for this system. \n" ); document.write( "- \n" ); document.write( "Subtracting perimeter equation from total fencing equation, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |