document.write( "Question 700674: how do you find the length of a diagonal of a rectangle if all you have is an equation: 7x-2 for one diagonal and 4x+3 for the other diagonal?
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Algebra.Com's Answer #432114 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
: how do you find the length of a diagonal of a rectangle if all you have is an equation: 7x-2 for one diagonal and 4x+3 for the other diagonal?
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\n" ); document.write( "We know that the two diagonals in rectangle are equal, therefore
\n" ); document.write( "7x - 2 = 4x + 3
\n" ); document.write( "Solve for x
\n" ); document.write( "7x - 4x = 3 + 2
\n" ); document.write( "3x = 5
\n" ); document.write( "x = 5/3
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\n" ); document.write( "Find the length of the diagonal by replacing x with 5/3 in 7x - 2
\n" ); document.write( "d = 7(5/3) - 2
\n" ); document.write( "d = (35/3) - 2
\n" ); document.write( "d = 11\"2%2F3\" - 2
\n" ); document.write( "d = 9\"2%2F3\" is the length of the diagonal
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\n" ); document.write( "Check this by doing the same in 4x + 3
\n" ); document.write( "d = 4(5/3) + 3
\n" ); document.write( "d = (20/3} + 3
\n" ); document.write( "d = 6\"2%2F3\" + 3
\n" ); document.write( "d = 9\"2%2F3\"
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