The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the resulting triangles are shaded (see figure).. If this process is repeated three more times after the 4th, determine the total area of the shaded region. * 1 sq. in. O127 sq. in. O 64 sq. in. O256 sq. in.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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The sides of a square are 16 inches in length. A new square is formed by
connecting the midpoints of the sides of the original square, and two of the
resulting triangles are shaded (see figure). If this process is repeated three more
times after the 4th, determine the total area of the shaded region. *
O1 sq. in.
O127 sq. in.
O64 sq. in.
O 256 sq. in.
OOOO
Transcribed Image Text:The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the resulting triangles are shaded (see figure). If this process is repeated three more times after the 4th, determine the total area of the shaded region. * O1 sq. in. O127 sq. in. O64 sq. in. O 256 sq. in. OOOO
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