document.write( "Question 972080: The length of a rectangle is 2 times longer than its width. If the diagonal of the rectangle measures 21 inches, what is its length? Type your answer as a decimal rounded to the nearest hundredth. \n" ); document.write( "
Algebra.Com's Answer #594466 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! Let the width of the rectangle be x. \n" ); document.write( "Then the length of the rectangle is 2x. \n" ); document.write( "Diagonal of the rectangle =21 inches \n" ); document.write( "Applying Pythagoras theorem, \n" ); document.write( "(Diagonal)^2=(length)^2+(width)^2 \n" ); document.write( "x^2+(2x)^2=21^2 \n" ); document.write( "x^2+4x^2=441 \n" ); document.write( "5x^2=441 \n" ); document.write( "x^2=441/5=88.2 \n" ); document.write( "x=9.391485505499117 \n" ); document.write( "length=2x=18.78297101099823 \n" ); document.write( "The length of the rectangle is 18.783 inches\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |