document.write( "Question 102687: There is a rectangle whose perimeter is 46 meters and whose area is 112 square meters. What are it's dimensions???\r
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document.write( "Help!!! How could I answer this?? \n" );
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Algebra.Com's Answer #74705 by edjones(8007)![]() ![]() You can put this solution on YOUR website! A) 2L+2W=46 \n" ); document.write( "B) L*W=112 \n" ); document.write( ". \n" ); document.write( "W=112/L \n" ); document.write( "2L+2(112/L)=46 Substitute 112/L for W in A). \n" ); document.write( "2L+224/L=46 \n" ); document.write( "2L^2+224=46L Multiply both sides by L to get rid of the fraction. \n" ); document.write( "2L^2-46L+224=0 \n" ); document.write( "2(L^2-23L+112)=0 \n" ); document.write( "2(L-16)(L-7)=0 \n" ); document.write( "L=16, L=7 \n" ); document.write( "actually we can make L=16 and W=7 or vice versa. \n" ); document.write( "Check: \n" ); document.write( "16*7=112 \n" ); document.write( "2*16+2*7=46 \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |