SOLUTION: In rectangle ABCD, diagonal AC = 5x and diagonal BD = 6x � 2. Find x and then find the length of AC.

Question 289103: In rectangle ABCD, diagonal AC = 5x and diagonal BD = 6x � 2. Find x and then find the length of AC.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In any rectangle, the diagonals are equal. So diagonal AC = diagonal BD. This then means that

Solved by pluggable solver: Linear Equation Solver

Start with the given equation.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

Since , this means that and . So we can see that both AC and BD are 10 units long. This verifies our answer.
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