Question 239375
length = x + 8

width = x

P = 108

108 = 2(x + 8) + 2(x)

Can you finish now?

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I got your reply.  Here is the rest of my reply.

length = x + 8 
width = x 
P = 108 
108 = 2(x + 8) + 2(x)
 
We have the tools needed to solve for x and find the answer.
 
Keep in mind that we are searching for the length, which is 8 more than the width denoted as x + 8.
 
108 = 2(x + 8) + 2(x)
 
108 = 2x + 16 + 2x
 
108 = 4x + 16
 
108 - 16 = 4x
 
92 = 4x
 
92/4 = x
 
23 = x
 
Is the anwer 23?
 
No, it is not the answer.  The number 23 is the value of x.
 
Since x = the width, we now know that the width is 23 meters.
 

Now, the length is x + 8 meters.

 

Replacing x with 23, we get 23 + 8 or 31 meters.

 

The length is 31 meters for this rectangular field.