Question 1207848
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The length of a rectangle is 5 feet more than three times the width. 
The perimeter of the rectangle is 146 feet. What is the width and the length of the rectangle? 
State what x represents, state the equation, and then state the answer.
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        As I interpret the problem and the question/request,  this visitor

        (or a person of whom he/she does represent)  wants that we,  the tutors,

        perform/share a standard mantra which should be played/pronounced as a solution.


        As he/she mentions only one unknown x,  it means the solution be presented in one unknown.


        Such solution is presented below.   It is one of possible mantra.



<pre>
Let x be the width of the rectangle, in feet.

Then the length of the rectangle is 3x+5 feet, according to the problem.


For the perimeter of the rectangle, we can write this equation


    x + (3x+5) + x + (3x+5) = 146.   


It reflects the fact that the perimeter of a rectangle 
is the sum of the lengths of all four its sides.


Simplify and find x

    8x + 10 = 146,

    8x = 146 - 10,

    8x = 136

     x = 136/8 = 17.


Thus the width is 17 feet;  the length is 3*17+5 = 56 feet.


<U>ANSWER</U>.  The width is 17 feet; the length is 56 feet.


<U>CHECK</U>.   The perimeter is  17 + 56 + 17 + 56 = 146 feet.   ! correct !
</pre>

At this point, &nbsp;the problem is solved in full with all necessary explanations, 
with complete checking and precisely in the form as requested.


Now the visitor can use this my post as a &nbsp;TEMPLATE &nbsp;to solve thousand 

other similar problems or as a standard mantra to teach others from a pulpit

(which is of this visitor the most deepest desire).