Question 1162001
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<pre>

These equations are


    2x + 2y = 80           (1)

     y = {{{(2/3)*x}}},           (2)


where x is the length and y is the width of the garden.


From equation (2), you have  

    3y = 2x.                (3)


In equation (1), replace 2x by 3y, based on (3).  You will get then

   3y + 2y = 80

   5y      = 80

    y      = 80/5 = 16.


So, the width is 16 meters.


Then the length is  {{{(80-2*16)/2}}} = {{{48/2}}} = 24 meters.


<U>ANSWER</U>.  The length is 24 m;  the width is  16 m.


<U>CHECK</U>.   16 m, the width, really is  {{{2/3}}}  of 24 m.
</pre>

Solved.


The method I used in the solution, was a kind of the Substitution method.



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Comment from student: Thank you! i was able to figure out the rest of it to find the area. thanks a bunch!
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<U>My response</U> :  I am glad to hear it (!)