6. Use the moving and additivity principles to deter- mine the area, in square inches, of the shaded region in Figure 12.14. The shape is a 2-inch-by- 2-inch square, with a square, placed diagonally inside, removed from the middle. In determining the area of the shape, use no formulas other than the one for areas of rectangles. Explain your rea- soning clearly. 2 in. I I I Figure 12.14 2 in. - 1 in. 1 in.

6. Use the moving and additivity principles to deter- mine the area, in square inches, of the shaded region in Figure 12.14. The shape is a 2-inch-by- 2-inch square, with a square, placed diagonally inside, removed from the middle. In determining the area of the shape, use no formulas other than the one for areas of rectangles. Explain your rea- soning clearly. 2 in. I I I Figure 12.14 2 in. - 1 in. 1 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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