The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles. Orange: 1/4 square units Blue: _____ square units Green: _____ square units

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Answer:

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

The areas of these shaded triangles. Orange: 1/4 square units, Blue: 1/16 square units, Green: 1/64 square units

What is a fraction?

A fraction represents a part of a whole number of equal parts.

The area of the largest triangle is given as 1 square unit.

The area of the triangle is colored and follows a geometric sequence with the common ratio of 1/4.

The area of the non-shaded triangle is given by 1 square unit.

The area of the orange triangle

1 × 1/4 = 1/4 square units.

The area of the blue triangle

1/4 × 1/4 = 1/16 square units.

The area of the green triangle

1/16 × 1/4  = 1/64 square units.

Learn more about fractions:

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