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: Zoom Factor=New HeightOriginal Height\text{Zoom Factor} = \frac{\text{New Height}}{\text{Original Height}}

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: New Base=Zoom Factor×Original Base\text{New Base} = \text{Zoom Factor} \times \text{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:

  1. What was the original height of the "U"?
  2. What was the original base of the "U"?
  3. What is the new (enlarged) height of the "U"?
  4. Was the "U" enlarged only vertically or proportionally in all dimensions?
  5. 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