SOLUTION: How do you find the different side lengths of a rhombus? The given side lengths are x+14, 2y+4, 3y-3, and 5x-2. I have to solve for x and y, but not sure how

Question 699469: How do you find the different side lengths of a rhombus? The given side lengths are x+14, 2y+4, 3y-3, and 5x-2. I have to solve for x and y, but not sure how
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

The great thing about a rhombus?

It is a parallelogram with four equal sides!

So it MUST be true that:

and

It is also true that:

etc., but that is not nearly as useful (even though you could still solve for x and y using the right methods).

So let's use those first two equations to solve for x and y:

AND

If you check these answers, you will find that all four sides equal 18.

And that is a comforting thing!

I hope this helps! Keep practicing! :)

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