Use pencil and paper. Draw a regular octagon. Decompose your octagon into other shapes to find the area. Decompose you octagon in at least 2 different ways. Then, answer the following question: Other than triangles, which shapes can be used to decompose a regular octagon? SELECT ALL THAT APPLY!!!!

a parallelogram that is not a rectangle

A triangle fits inside a square. Describe the total area of the shaded regions. (The base of the triangle is 8 m and the height is 12m.

The total area of the shaded regions is equal to the area of the square minus the area of the triangle.

The total area of the shaded regions is equal to the area of the triangle times the area of the square.

The total area of the shaded regions is equal to the area of the triangle minus the area of the square.

The total area of the shaded regions is equal to the area of the square plus the area of the triangle.

Test

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1How many bases? How many lateral faces? What is the height of the pyramid?
1. A1,4,7m
2. B1,3,10m
3. C1,4,7,6.1m
2Use pencil and paper. Draw a regular octagon. Decompose your octagon into other shapes to find the area. Decompose you octagon in at least 2 different ways. Then, answer the following question: Other than triangles, which shapes can be used to decompose a regular octagon? SELECT ALL THAT APPLY!!!!
1. Aa trapezoid
2. Ba parallelogram that is not a rectangle
3. Chexagon
4. Drectangle
3A triangle fits inside a square. Describe the total area of the shaded regions. (The base of the triangle is 8 m and the height is 12m.
1. AThe total area of the shaded regions is equal to the area of the triangle times the area of the square.
2. BThe total area of the shaded regions is equal to the area of the square minus the area of the triangle.
3. CThe total area of the shaded regions is equal to the area of the triangle minus the area of the square.
4. DThe total area of the shaded regions is equal to the area of the square plus the area of the triangle.
4You want to find the area of the triangle. If you choose 15m as the base (missing number at the bottom of the picture), what is the corresponding height?
1. A30 m
2. B18 m
3. C9m