Answer:

Explanation:
The perimeter of a rectangle is given by the formula:

Where w is the width and l is the length.
The width is 4x and the length is 5x+2.
We also know the perimeter is 184. So, substitute:

Distribute:

Combine like terms:

Subtract 4 from both sides:

Divide by 18:

So, the value of x is 10
And we're done :)