If a/4 = 9/a, then

a²=36
4a = 9a
a + 4 = 9 + a
a - 4 = 9 - a

a² = 36

Step-by-step explanation:

We are given the equation

Here, we have to simplify the equation as given in options.

Now,  

Multiplying both sides with 4a, we get

Cancelling 4 in the left hand side and cancelling a in the right hand side we get,

⇒ a × a = 9 × 4

⇒ a² = 36

Therefore, the first option is correct. (Answer)

hiking down a winding trail.

step-by-step explanation:

do you have a picture of the table