Use the scale factor to find the area of the enlarged figure. Explain your steps.
4 width 8 length
a width 25.6 length
To find the area of the enlarged figure, we need to square the scale factor and multiply it by the area of the original figure.
The scale factor is found by dividing the corresponding sides of the enlarged figure by the original figure. In this case, the width of the enlarged figure is 25.6 and the original width is 4. So the scale factor for the width is 25.6/4 = 6.4.
Similarly, the scale factor for the length is found by dividing the corresponding sides of the enlarged figure by the original figure. In this case, the length of the enlarged figure is 25.6 and the original length is 8. So the scale factor for the length is 25.6/8 = 3.2.
To find the area of the enlarged figure, we square the scale factor for the width and multiply it by the area of the original figure. So the area of the enlarged figure is (6.4)^2 * (4 * 8) = 256 * 32 = 8192 square units.
Therefore, the area of the enlarged figure is 8192 square units.
1-2 sentences
To find the area of the enlarged figure, square the scale factor (6.4) and multiply it by the original area (32), resulting in an area of 8192 square units.
Describe how to solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given.
To solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given, first find the corresponding dimensions of the reduced or enlarged figure by multiplying the scale factor with the original dimensions. Then, use the corresponding dimensions to find the area of the reduced or enlarged figure by multiplying the width and length.
What is the importance of the Chacoan Phenomenona
The Chacoan Phenomenon, which refers to the cultural, architectural, and social developments of the ancestral Puebloan people in the Chaco Canyon region of present-day New Mexico, is important for several reasons.
Firstly, the Chacoan Phenomenon represents a remarkable and sophisticated example of prehistoric Native American civilization. The monumental architecture, including the famous Pueblo Bonito complex, showcases the engineering skills and cultural achievements of the ancestral Puebloans.
Secondly, the Chacoan Phenomenon has provided significant insights into the social, religious, and economic organization of the ancestral Puebloan people. The presence of specialized architecture, a vast ceremonial road network, celestial alignments, and elaborate underground structures indicate a complex societal structure and spiritual practices.
Furthermore, the Chacoan Phenomenon played a crucial role in the cultural development of the Southwest region, influencing subsequent Native American tribes such as the Hopi and Zuni. The knowledge and practices that emerged from Chaco Canyon were likely spread across the region, contributing to the cultural diversity and heritage of Native American communities in the Southwest.
Overall, the Chacoan Phenomenon remains important for anthropology, archaeology, and Native American studies, shedding light on the accomplishments of prehistoric societies and their significance in shaping the cultural landscape of North America.