The midpoints of the sides of a square of side 5 are joined to form a new square. This procedure is infinitely repeated for each new square. a.Find the sum of the perimeters of all the squares.

Question

The midpoints of the sides of a square of side 5 are joined to form a new square. This procedure is infinitely repeated for each new square.    a.Find the sum of the perimeters of all the squares.

anonymous · Answer

the perimeter of a square with side a is 4a. what is the side of a square which is formed by joining the midpoints of a square of side a?

anonymous · Answer

show me the steps please

anonymous · Answer

I am asking you, what is the side of a square which is formed by joining the midpoints of a square of side a? solve that first.

dumbcow · Answer

sum = 40
you have to use formula for finding sum of geometric series
sum = a1*(1-r^n)/1-r