document.write( "Question 44292: Please help me find the dimensions of a rectangle that has an area of 10 and a diagonal of length 5. Thank you!! \n" ); document.write( "
Algebra.Com's Answer #29228 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Please help me find the dimensions of a rectangle that has an area of 10 and a diagonal of length 5. Thank you!! \n" ); document.write( "LB=10 \n" ); document.write( "SQRT(L^2+B^2)=5...FROM PYTHOGARUS THEOREM \n" ); document.write( "L^2+B^2=25 \n" ); document.write( "(L+B)^2=L^2+B^2+2LB=25+20=45 \n" ); document.write( "L+B=SQRT(45).............................I \n" ); document.write( "(L-B)^2=L^2+B^2-2LB=25-20=5 \n" ); document.write( "L-B=SQRT(5)...................................II \n" ); document.write( "EQN.I+EQN.II...GIVES \n" ); document.write( "2L=SQRT(45)+SQRT(5) \n" ); document.write( "L={SQRT(45)+SQRT(5)}/2=4.472 \n" ); document.write( "EQN.I-EQN.II GIVES \n" ); document.write( "B={SQRT(45)-SQRT(5)}/2=2.236 \n" ); document.write( " |