Consider the area shown in (Figure 1). Suppose that L = 5.7 in. Part A Locate the centroid (z, y) of the area. Express your answers in inches to three significant figures separated by a comm View Available Hint(s)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem Statement:

Consider the area shown in (Figure 1). Suppose that \( L = 5.7 \) in.

#### Part A
- Locate the centroid (\( \bar{x}, \bar{y} \)) of the area.
- Express your answers in inches to three significant figures separated by a comma.

**Hints Available:**

\[ \bar{x}, \bar{y} = \ \_\_ \]

\[ \text{(input box)} \]  in.

**Submit** (Button)

**Provide Feedback** (Link)

### Figure Description:
The figure depicts a trapezoidal area within a coordinate system. The trapezoid dimensions and placement are as follows:

- The base of the trapezoid (along the \( x \)-axis) is 6 inches.
- The height of the trapezoid (along the \( y \)-axis) is 3 inches.
- The top length of the trapezoid is denoted as \( L \) and is given as 5.7 inches.

The trapezoid lies within the first quadrant of the coordinate system.

**Detailed Graph Explanation:**
- The horizontal axis (\( x \)-axis) represents the base of the trapezoid.
- The vertical axis (\( y \)-axis) represents the height.
- The figure shows a trapezoid with one of the non-parallel sides being vertical.
- The top base of the trapezoid starts at a point 3 inches above the \( x \)-axis.

The problem requires calculating the centroid (\( \bar{x}, \bar{y} \)) of the trapezoid shape.

### Instructions for Submission:
Input the calculated values for \( \bar{x} \) and \( \bar{y} \) in the provided text box, separated by a comma, and then click on the "Submit" button. Make sure the values are accurate up to three significant figures.

For any confusion or hints, access the "View Available Hint(s)" link provided.
Transcribed Image Text:### Problem Statement: Consider the area shown in (Figure 1). Suppose that \( L = 5.7 \) in. #### Part A - Locate the centroid (\( \bar{x}, \bar{y} \)) of the area. - Express your answers in inches to three significant figures separated by a comma. **Hints Available:** \[ \bar{x}, \bar{y} = \ \_\_ \] \[ \text{(input box)} \] in. **Submit** (Button) **Provide Feedback** (Link) ### Figure Description: The figure depicts a trapezoidal area within a coordinate system. The trapezoid dimensions and placement are as follows: - The base of the trapezoid (along the \( x \)-axis) is 6 inches. - The height of the trapezoid (along the \( y \)-axis) is 3 inches. - The top length of the trapezoid is denoted as \( L \) and is given as 5.7 inches. The trapezoid lies within the first quadrant of the coordinate system. **Detailed Graph Explanation:** - The horizontal axis (\( x \)-axis) represents the base of the trapezoid. - The vertical axis (\( y \)-axis) represents the height. - The figure shows a trapezoid with one of the non-parallel sides being vertical. - The top base of the trapezoid starts at a point 3 inches above the \( x \)-axis. The problem requires calculating the centroid (\( \bar{x}, \bar{y} \)) of the trapezoid shape. ### Instructions for Submission: Input the calculated values for \( \bar{x} \) and \( \bar{y} \) in the provided text box, separated by a comma, and then click on the "Submit" button. Make sure the values are accurate up to three significant figures. For any confusion or hints, access the "View Available Hint(s)" link provided.
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