Question 1130566
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You can easily solve this problem MENTALLY, without using equations.


<pre>
The area of the flower bed is 9*6 = 54 square meters.

The flower bed surrounded by a path has the doubled area, i.e.  54*2 = 108 square meters.


This area is the product of the exterior dimensions L and W of the larger rectangle.

Notice, that the difference between  L  and  W  is the same as the difference of the dimensions of the flower bed - 

exactly because the surrounding path has a constant width.


So, we need to find two numbers, whose product is 108 and whose difference is  3 = 9 - 6.


After 5 seconds thinking you will find these numbers:  12 and 9.


They are exterior dimensions.


From it, you need to make only one step to find the perimeter:  it is  2*(12+9) = 42 meters.


Thus you get the answer:  the perimeter is 42 meters.
</pre>

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My other closely related lessons to it are the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson>Problems on the area and the dimensions of a rectangle surrounded by a strip</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Cynthia-Besch-and-the-rug.lesson>Cynthia Besch wants to buy a rug for a room</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Circular-pool-and-a-walkway-around.lesson>Problems on a circular pool and a walkway around it</A>

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic 
"<U>Dimensions and the area of rectangles and circles and their elements</U>".


Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.