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?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #432114 by ankor@dixie-net.com(22740)![]() ![]() 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? \n" ); document.write( ": \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 \n" ); document.write( ": \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 \n" ); document.write( "d = 9 \n" ); document.write( ": \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 \n" ); document.write( "d = 9 |