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.

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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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?
show me the steps please
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.

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

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