document.write( "Question 825630: In rectangle ABCD, diagonals AC and BD intersect at Point E. If AC=36 and BD=2x+30, find x. \n" ); document.write( "
Algebra.Com's Answer #497537 by math-vortex(648)\"\" \"About 
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "In rectangle ABCD, diagonals AC and BD intersect at Point E. If AC=36 and BD=2x+30, find x.\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "To solve this problem, we use the mathematical fact the the diagonals of a rectangle are \r\n" );
document.write( "equal in length. Therefore the length of AC is equal to the length of BD.\r\n" );
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document.write( "We are given that the length of AC is 36, and the length of BD is 2x+30. We set these equal \r\n" );
document.write( "to each other and solve for x.\r\n" );
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document.write( "36 = 2x + 30\r\n" );
document.write( "2x = 36 - 30\r\n" );
document.write( "2x = 6\r\n" );
document.write( "x = 3\r\n" );
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document.write( "If x is 3 then the length of BD is \r\n" );
document.write( "2x + 30 = 2(3) + 30 = 36\r\n" );
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document.write( "Both diagonals at 36 units in measure. CHECK!\r\n" );
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document.write( "Hope this helps!\r\n" );
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document.write( "Mrs. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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