document.write( "Question 1045515: ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=? \n" ); document.write( "
Algebra.Com's Answer #661106 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "We know AB=CD.\r\n" );
document.write( "\r\n" );
document.write( "AC=BD=\"sqrt%285%29\".\r\n" );
document.write( "\r\n" );
document.write( "Perimeter=\"2AD%2B2AB\".\r\n" );
document.write( "\r\n" );
document.write( "Let \"AB\"=\"x\".  Then \"AD\"=\"2x\".\r\n" );
document.write( "\r\n" );
document.write( "You have right angle triangle\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2\" + \"%282x%29%5E2\" = \"%28sqrt%285%29%29%5E2\",\r\n" );
document.write( "\r\n" );
document.write( "\"5x%5E2\"=\"5\",\r\n" );
document.write( "\r\n" );
document.write( "x = 1.\r\n" );
document.write( "\r\n" );
document.write( "Then AB = 1, AD = 2, and the perimeter = 1 + 2 + 1 + 2 = 6 units.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The perimeter is 6 units.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "For many other solved similar problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and side lengths of a triangle\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and side lengths of a right-angled triangle\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and the side lengths of a parallelogram\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and side lengths of a rectangle\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );