document.write( "Question 196718: In the accompanying figure, ABCD is a rectangle, E is a point on AB, DE=13, AE=5and DC=20.
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document.write( "a. Find AD.
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document.write( "b. Find the perimeter of trapezoid EBCD.
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document.write( "c. Find the area of triangle AED.
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document.write( "d. Find the area of rectangle ABCD.
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document.write( "e. Find the area of trapezoid EBCD. \n" );
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Algebra.Com's Answer #147444 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! A rough sketch helps,,,label as answer arise \n" ); document.write( ". \n" ); document.write( "ADE is a rt triangle,,with AE = 5,,,DE =13,,,given \n" ); document.write( ". \n" ); document.write( "using pythagorous theorem,,c^2 = a^2 +b^2. \n" ); document.write( ". \n" ); document.write( "13 ^2 = 5^2 + ad^2,,,,ad = 12 ,,,,,,,(a) \n" ); document.write( ". \n" ); document.write( "CB =AD =12,,,,,,and DC=AB =20,,,,,given,,, therefore BE =15 (Ab - AE = BE) \n" ); document.write( ". \n" ); document.write( "Per EBCD = 15 +12 +20+13 = 60,,,,,, (b) \n" ); document.write( ". \n" ); document.write( "Area (AED) = 1/2 * 5 * 12 = 30,,,,,,(c) \n" ); document.write( ". \n" ); document.write( "Area (ABCD) = 20 *12 +240,,,,,(d) \n" ); document.write( ". \n" ); document.write( "Area(EBCD) = 1/2 *(15 +20) *12 = 210 \n" ); document.write( ". \n" ); document.write( " |