Answer:
54 m
Step-by-step explanation:
Alrighty, what have we here: an area of 162 m² and a width of 9m.
So: A=162m², W=9m, let's draw this: (see the screenshot attached)
Using the formula for area (Area = width x length) we see that:
[tex]162m^{2} =9m*L[/tex]
Thus: (equating to L by dividing both sides by 9m)
⇒ [tex]\frac{162m^{2} }{9m}=18m=L[/tex]
Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:
[tex]perimeter=2W+2L=2*9m+2*18m=18m+36m=54m[/tex]
And there we have our answer.