document.write( "Question 1153521:
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\n" ); document.write( " Mr. Shen wished to enter the Orange Kite Competition with an innovative kite of his own design. He did tests that showed an irregular quadrilateral design was best.​ The longest side​ (A) was twice the length of the shortest side​ (C). Side B was one and​ one-half times the shortest side​ (C). Side D needed to be 3
\n" ); document.write( "​\" left 3 inches right longer than side C. If the competition required that the perimeter of your kite must be 69​\",
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\n" ); document.write( " what were the dimensions of Mr.​ Shen's kite?
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\n" ); document.write( "  An irregular quadrilateral with sides labeled A, B, C, and D.\r
\n" ); document.write( "\n" ); document.write( " Length of side A equals\r
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Algebra.Com's Answer #775752 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
A is the longest side
\n" ); document.write( "C is the shortest side\r
\n" ); document.write( "\n" ); document.write( "A = 2C
\n" ); document.write( "B = 1.5C]
\n" ); document.write( "C = C
\n" ); document.write( "D = C + 3 if i understood you correctly.\r
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\n" ); document.write( "\n" ); document.write( "A + B + C + D = 69
\n" ); document.write( "convert all to C to get:
\n" ); document.write( "2C + 1.5C + C + C + 3 = 69
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "5.5C + 3 = 69
\n" ); document.write( "subtract 3 from both sides to get:
\n" ); document.write( "5.5C = 66
\n" ); document.write( "solve for C to get:
\n" ); document.write( "C = 66/5.5 = 12\r
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\n" ); document.write( "\n" ); document.write( "you get:
\n" ); document.write( "A = 24
\n" ); document.write( "B = 18
\n" ); document.write( "C = 12
\n" ); document.write( "D = 15\r
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\n" ); document.write( "\n" ); document.write( "sum of all sides is 24 + 18 + 12 + 15 = 69
\n" ); document.write( "this confirms the solution is correct.
\n" ); document.write( "solution is side A = 24, B = 18, C = 12, D = 15.
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