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Vedmedyk [2.9K]
3 years ago
10

A square is divided into nine smaller squares of equal area. The center square is then divided into nine smaller squares of equa

l area and the pattern continues indefinitely. What fractional part of the figure is shaded?

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

1/2 of the figure is shared

Step-by-step explanation:

From the attachment, 4 out of the 8 squares are shaded

The center square which makes it the 9th is subdivided into 9 squares again.

The pattern of division continues indefinitely.

In every subdivision, 4 squares are shaded leaving the other 4 squares white while the 9th(center square) forms another subdivision.

Therefore, it can be concluded that 1/2 of the figure is shaded.

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Step-by-step explanation:

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Let's calculate area for side = 2
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ALSO, looking at the formula
</span>n*side^2 / (4 * tan(180/n))
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