Quantity used the rule divide the length of a piece of wood by 3?to get the number of nails needed if 3 nails are needed for a piece of wood that is 9 inches and 13 nails are needed for a piece of wood that is 39 inches what is the length of a piece of wood that requires 8 nails? 18,21,24,27

To solve this problem, we can set up a proportion. Let's denote "x" as the length of the piece of wood that requires 8 nails.

Using the rule "Divide the length of a piece of wood by 3 to get the number of nails needed," we can set up the following proportion:

9 inches / 3 nails = 39 inches / 13 nails = x inches / 8 nails

To find the value of "x," we can cross multiply:

9 inches * 8 nails = 3 nails * x inches
72 = 3x

Dividing both sides of the equation by 3:
72 / 3 = x
24 = x

Therefore, the length of the piece of wood that requires 8 nails is 24 inches.