SOLUTION: 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 rep

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Question 1207848: 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.
Found 3 solutions by josgarithmetic, Edwin McCravy, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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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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No instructions for what to do with "x".

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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 th......
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-------------You KNOW what is w in here. Solve....
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

You can also solve this system by substitution:



If you must use an x, change either L or W to x and state
whether it was the length or width you chose x to represent.

Edwin
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
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. 


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.


ANSWER.  The width is 17 feet; the length is 56 feet.


CHECK.   The perimeter is  17 + 56 + 17 + 56 = 146 feet.   ! correct !

At this point,  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  TEMPLATE  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).



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