SOLUTION: A rectangular room is 6 meters longer than it is wide, and it’s perimeter is 24 meters. Find the dimension of the room. A.) write an equation in terms of width, w that models t

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Question 1152887: A rectangular room is 6 meters longer than it is wide, and it’s perimeter is 24 meters. Find the dimension of the room.
A.) write an equation in terms of width, w that models the situation. Simplify it but do not solve.
Answer by ikleyn(52863) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the width be x meters;  then the length is (x+6) meters.


The perimeter is the sum of four lengths


    P = x + (x+6) + x + (x+6) = 2x + 2*(x+6),   or


    24 = 2x + 2*(x+6).


You may write it in this form


    x + (x+6) = 24/2

    
    x + (x+6) = 12.

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I STOP at this point, since the assignment does nor requires to solve the equation.

The person, familiar with the subject, who just solved such problems many times, writes the equation

            x + (x+6) = half of the perimeter

without any explanations, assuming that everything is just crystally clear.