Final answer:
By using the properties of parallelograms and solving a simple equation, we determine that the length of AB in parallelogram ABCD is 16 units.
Step-by-step explanation:
To find the length of AB in parallelogram ABCD, we need to use the properties of a parallelogram that opposite sides are equal. Thus, AB equals DA. We are given that AB = 8x and DA = 2x + 8. To find the value of x, we can set 8x equal to 2x + 8 and solve for x:
8x = 2x + 8
Now, subtract 2x from both sides:
6x = 8
Divide both sides by 6:
x = ⅔
Now that we have the value of x, we can calculate the length of AB:
AB = 8x = 8(⅔) = 16