document.write( "Question 1003134: The consecutive sides of a rectangle are (x+11) units and (3x+8) units, and the perimeter is 70 units. Find the measure of its diagonal. \n" ); document.write( "

Algebra.Com's Answer #619921 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
The perimeter of a rectangle is 2(l+w)\r
\n" ); document.write( "\n" ); document.write( " (3x+8) & (x+11)\r
\n" ); document.write( "\n" ); document.write( "Perimeter = 2((x+11)+(3x+8))\r
\n" ); document.write( "\n" ); document.write( "2(x+11+3x+8) = 70\r
\n" ); document.write( "\n" ); document.write( "2(4x+19)=70\r
\n" ); document.write( "\n" ); document.write( "/2
\n" ); document.write( "4x+19=35\r
\n" ); document.write( "\n" ); document.write( "4x= 35-19\r
\n" ); document.write( "\n" ); document.write( "4x= 16
\n" ); document.write( "x=4\r
\n" ); document.write( "\n" ); document.write( "(x+11) = 4+11=15\r
\n" ); document.write( "\n" ); document.write( "3x+8 => 3*4+8=> 20\r
\n" ); document.write( "\n" ); document.write( "Using Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "Diag^2 = 15^2+20^2\r
\n" ); document.write( "\n" ); document.write( "= 225+400\r
\n" ); document.write( "\n" ); document.write( "= 625\r
\n" ); document.write( "\n" ); document.write( "diagonal = sqrt(625)\r
\n" ); document.write( "\n" ); document.write( "= 25\r
\n" ); document.write( "\n" ); document.write( "Diagonal = 25 units\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );