Subject: Algebra 1
Name: Johann
Who are you: Student

The perimeter of regular octagon varies directly with the length of one side of the octagon

Hello Johann.

I'm not sure what you question is, but the statement you gave is certainly true. The perimeter is the sum of the lengths of the sides. A regular octagon is one in which the sides all have the same length, so if P is the perimeter and S is the length of one side, then P = 8S.

"Varies directly" simply means this: when one thing is twice as large, the other is twice as large (or any other factor). More formally, any equation of the form A=kB where A and B are variable quantities and k is a constant value is one in which A varies directly in proportion to B. In your case k = 8.

Stephen La Rocque.>