Question

side of a square is 16 units. the midpoints of its side are joined to form an inscribed square. another square is drawn in such a way. the process is continued INFINITYLY. find the SUM of the AREA of these infinity squares.

Answer 1

pls help! i think this is advance calculus.. given to my basic geometry class

Answer 2

The first construction shows that side s produces sides of s/sqrt(2), so the inscribed square has area s^2 / 2. Subsequent inscribings will give squares with half the preceding aeeas, so we have

area = 16(1 + 1/2 + 1/4 + 1/8 + ...)

and I think that series converges to 16 x (2), but one can look it up.

Answer 3

http://www.algebra.com/algebra/home
work/Triangles.faq.question.234891.html

Answer 4

thanks anyway