The similarity ratio of two regular octagons is 5:9. The area of the smaller octagon is 100 in2. Find the area of the larger oct
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A triangle is a polygon. The total area of the figure can be represented by 12a, (6a+b), and 2b cm².
<h3>What is a triangle?</h3>A triangle is a polygon with 3 sides and 3 vertices.
Since the area of a single triangle is a cm², and the shape is formed of 12 triangles, therefore, the area of the 12 triangles will be equal to,
Given that the area of the complete dark portion is b cm², therefore, the area of the 6 triangles with a cm² of area each, and the black portion can be written as,
As the dark portion also consists of 6 triangles with an area of a cm² each and the total sum of this dark area is b cm². Also, the light portion consists of 6 triangles with an area of a cm². Therefore, the total area can be written as,
Thus, the total area of the figure can be represented by 12a, (6a+b), and 2b cm².
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