https://file.aiquickdraw.com/mathbot/file/1726714178451vrenz4pc.jpg

To solve this problem, we need to determine the dimensions \( A \), \( B \), \( C \), \( D \), and \( E \) based on the given geometric figure, while rounding the results to three decimal places.

Here is how we approach the solution:

### Dimension \( A \):
- \( A \) represents the total length of the figure. From the drawing, this total length is clearly labeled as **5.721 cm**.

### Dimension \( B \):
- \( B \) is the horizontal distance from the left side of the figure to the vertical section on the right side, excluding the notch and rounded edges.
- By subtracting the width of the right segment (\( C + 0.250 \)) from the total length \( A \), we can find \( B \).
  - From the figure: \( C = 0.250 \, \text{cm} \) (given directly).
  - Therefore, \( B = 5.721 - C - 0.8752 \).

### Dimension \( C \):
- \( C \) is given directly in the figure as **0.250 cm**.

### Dimension \( D \):
- \( D \) is the distance from the left side of the figure to the start of the rounded section. According to the drawing, it is labeled as **1.0625 cm**.

### Dimension \( E \):
- \( E \) is the height from the bottom of the figure to the top, including the rounded corners. This value is directly given as **0.375 cm**.

### Recap of Dimensions:
- \( A = 5.721 \, \text{cm} \)
- \( B = 5.721 - 0.250 - 0.8752 = 4.5958 \, \text{cm} \)
- \( C = 0.250 \, \text{cm} \)
- \( D = 1.0625 \, \text{cm} \)
- \( E = 0.375 \, \text{cm} \)

If you would like more details or have any other questions, feel free to ask!

### Related Questions:
1. How are dimensions related in terms of geometric properties?
2. What role do the radii (\( R \)) play in determining other dimensions of the figure?
3. How would you calculate the area of the figure based on these dimensions?
4. What tools can be used to verify the measurements of this figure?
5. How could this problem change if different rounding precision were used?

### Tip:
When rounding to three decimal places, always check whether rounding rules apply (e.g., if the fourth decimal is 5 or higher, round up).

Déterminer les dimensions A, B, C, D, et E à trois décimaux près. (dimensions en cm)

Solve the geometric problem by determining dimensions A, B, C, D, and E in cm with three decimal places. The total length A is 5.721 cm, and you’ll use subtraction and rounding techniques to find the values of B, C, D, and E.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation