document.write( "Question 246295: The perimeter of rectangle is 64 units. The ratio of its length to width is 5 : 3 Determine the length of a diagonal of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #179911 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2(5X)+2(3X)=64 \n" ); document.write( "10X+6X=64 \n" ); document.write( "16X=64 \n" ); document.write( "X=64/16 \n" ); document.write( "X=4 \n" ); document.write( "5*4=20 ANS. FOR ONE SIDE. \n" ); document.write( "3*4=12 ANS. FOR THE OTHER SIDE. \n" ); document.write( "PROOF: \n" ); document.write( "5:3=20:12 REDUCE THE FRACTION. \n" ); document.write( "5:3=5:3 \n" ); document.write( "2*20+2*12=64 \n" ); document.write( "40+24=64 \n" ); document.write( "64=64 \n" ); document.write( "SOLVE FOR THE HYPOTENUSE OF THIS RIGHT TRIANGLE WITH SIDES=12 & 20. \n" ); document.write( "12^2+20^2=C^2 \n" ); document.write( "144+400=C^2 \n" ); document.write( "544=C^2 \n" ); document.write( "C=SQRT544 \n" ); document.write( "C=23.324 ANS. FOR THE DIAGONAL. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |