The figure are similar given the ratio of the preimeters and the ratio of the ares of first figure

The Figure Are Similar Given The Ratio Of The Preimeters And The Ratio Of The Ares Of First Figure

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Answer 1

The statement "the figures are similar given the ratio of the perimeter and the ratio of the areas of the first figure" is not true.

To determine whether the figures are similar, we need to check if the corresponding angles of the two figures are equal. Since both figures have four right angles, we only need to compare one angle. We can see that the angle between the sides of length "a" in the square is the same as the angle between the length "a" and the length "2a" in the rectangle. Therefore, the figures are similar.

Now, to verify whether the ratio of their perimeters is equal to the ratio of their areas, we can calculate their perimeters and areas. The perimeter of the square is 4a, while the perimeter of the rectangle is 6a. Therefore, the ratio of their perimeters is:

(perimeter of rectangle) / (perimeter of square)

= 6a / 4a = 3/2

The area of the square is a², while the area of the rectangle is 2a². Therefore, the ratio of their areas is:

(area of a rectangle) / (area of square) = 2a² / a² = 2

As we can see, the ratio of their perimeters () is not equal to the ratio of their areas (2), which means that the figures do not satisfy the condition of having the same ratio of perimeters and the ratio of areas. Therefore, we can conclude that the statement "the figures are similar given the ratio of the perimeters and the ratio of the areas of the first figure" is not true.

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Related Questions

how has oceania's geographic location influence the development of cultural diffusion over time ?

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Hi, there! :)

Oceania's geographic location has played a significant role in shaping the cultural diffusion that has occurred in the region over time. Oceania is a vast region that encompasses a diverse range of island groups spread across the Pacific Ocean. Due to its isolation from other regions, Oceania has developed a unique culture, distinct from other parts of the world. However, the region has also experienced significant cultural diffusion over time, influenced by various factors, including trade, migration, and colonization.

One of the key factors that have influenced cultural diffusion in Oceania is its location along major oceanic trade routes. Throughout history, Oceania has been a crossroads for trade between Asia, the Americas, and Europe. This trade has brought new ideas, technologies, and cultural practices to the region, contributing to the development of Oceania's unique cultural identity.

Another important factor that has influenced cultural diffusion in Oceania is migration. The movement of people throughout the region has played a significant role in the spread of cultural practices and traditions. For example, the Polynesians, who are believed to have originated from Southeast Asia, migrated throughout Oceania, bringing with them their cultural practices, language, and technologies.

Colonization is another significant factor that has influenced cultural diffusion in Oceania. European powers began colonizing the region in the 17th century, bringing with them their own cultural practices and beliefs. The impact of colonization on Oceania's indigenous cultures has been significant, resulting in the loss of traditional practices and the adoption of new ones.

Overall, Oceania's geographic location has played a significant role in shaping the cultural diffusion that has occurred in the region over time. While isolation has allowed for the development of a unique cultural identity, the region's location along major trade routes and the movement of people throughout the region has also contributed to the spread of cultural practices and traditions.

Hope that helps! Good luck! ^_^

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Countries with low literacy rates are often countries that struggle with poverty, inequality, and underdevelopment. Illiteracy can be a major barrier to economic development, as it limits access to education, employment opportunities, and technology.

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