Math Problem Statement
Casey enlarged the first “U” proportionally so that it has a height of . What was her zoom factor? What is the base of this new “U”? Justify your conclusion.
Solution
It seems that the height of the enlarged "U" is missing in the problem statement. To solve the problem, I need the original height and the enlarged height of the "U" to determine the zoom factor and calculate the new base.
However, I can outline how to solve this problem assuming we had the necessary dataIt seems that the height of the enlarged "U" is missing in the problem statement. To solve the problem, I need the original height and the enlarged height of the "U" to determine the zoom factor and calculate the new base.
However, I can outline how to solve this problem assuming we had the necessary
1. Zoom Factor Calculation:
The zoom factor can be calculated by comparing the new height to the original height using the formula:
2. Base Calculation:
Since the "U" was enlarged proportionally, the base of the enlarged "U" can be calculated by applying the zoom factor to the original base:
To proceed with the calculations, I'll need the following:
- The original height and base of the "U".
- The enlarged height of the "U".
If you provide these, I can help you calculate the zoom factor and the base of the enlarged "U".
Follow-up Questions:
- What was the original height of the "U"?
- What was the original base of the "U"?
- What is the new (enlarged) height of the "U"?
- Was the "U" enlarged only vertically or proportionally in all dimensions?
- Is there any information on how the "U" was scaled (e.g., percentage increase)?
Tip:
Always keep track of the proportional changes in both height and base to maintain geometric similarity.
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Math Problem Analysis
Mathematical Concepts
Proportional Scaling
Geometry
Ratios
Formulas
Zoom Factor = (New Height) / (Original Height)
New Base = Zoom Factor × Original Base
Theorems
Similarity Theorem in Proportional Figures
Suitable Grade Level
Grades 6-8