In the parallelogram ABCD, the BC side is 8 and is 4/9 of the entire perimeter. Find the adjacent side AB.

Let’s denote the entire perimeter by x.

Let’s make a proportion where 8 is 4/9 of x.

8 – 4/9

x – 1

We get the equation:

x * 4/9 = 8 * 1

x * 4/9 = 8

x = 8: 4/9

x = 8 * 9: 4

x = 72: 4

x = 18

18 – the perimeter of the parallelogram.

Find the sum of two opposite sides BC and AD. Since they are equal, their sum will be 8 * 2 = 16.

Then the sum of the sides AB and CD will be 18 – 16 = 2.

And, since they are equal, then one side of AB will be 2: 2 = 1.

Answer: Side AB is 1.