document.write( "Question 289103: In rectangle ABCD, diagonal AC = 5x and diagonal BD = 6x – 2. Find x and then find the length of AC. \n" ); document.write( "

Algebra.Com's Answer #209473 by jim_thompson5910(35256) $\"\"$ $\"About$

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In any rectangle, the diagonals are equal. So diagonal AC = diagonal BD. This then means that $\"5x=6x-2\"$ \r
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Solved by pluggable solver: Linear Equation Solver

$\"5x=6x-2\"$ Start with the given equation.

$\"5x-6x=-2\"$ Subtract $\"6x\"$ from both sides.

$\"-x=-2\"$ Combine like terms on the left side.

$\"x=%28-2%29%2F%28-1%29\"$ Divide both sides by $\"-1\"$ to isolate $\"x\"$ .

$\"x=2\"$ Reduce.

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So the solution is $\"x=2\"$

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\n" ); document.write( "\n" ); document.write( "Since $\"x=2\"$ , this means that $\"AC=5x=5%282%29=10\"$ and $\"BD=6x-2=6%282%29-2=12-2=10\"$ . So we can see that both AC and BD are 10 units long. This verifies our answer. \n" ); document.write( "

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