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

Algebra ->  Parallelograms -> 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      Log On


   

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) About Me  (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:

x%2B14=5x-2 and 2y%2B4=3y-3

It is also true that:

x%2B14=2y%2B4 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:

x%2B14=5x-2

14=4x-2

16=4x

x=4

AND

2y%2B4=3y-3

4=y-3

y=7

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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