SOLUTION: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a side. If the process is continued until there are already six squares, find the

Algebra.Com
Question 982085: A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches. thank you

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
the side of the outer most square is 8
area = 64
the side of the first inner square =
=
Area of first inner square = 32
Every inner square is half in area of the outer square
6 squares
54,32,16,8,4,2
Add them up 116 in^2

RELATED QUESTIONS

``1. A new square is formed by joining the midpoints of the consecutive sides of a... (answered by solver91311)
A new square is formed by joining the midpoints of the consecutive sides of a square 8... (answered by rothauserc)
a new square is formed by joining the midpoints of the consecutive sides of a square 8... (answered by robertb)
A new square is formed by joining the midpoints of the consecutive sides of a square 8... (answered by Edwin McCravy)
1. A new square is formed by joining the midpoints of the consecutive sides of a square... (answered by solver91311)
1. A new square is formed by joining the midpoints of the consecutive sides of a square... (answered by solver91311)
The side of the square is 20 inches . A second square is formed by joining in the proper... (answered by htmentor)
The quadrilateral formed by joining the midpoints of the sides of a parallelogram... (answered by srinivas.g,Edwin McCravy,AnlytcPhil)
An equilateral triangle has a side of 4 decimeters. A new triangle is formed by joining... (answered by solver91311)