**Title: Understanding Channel Dimensions**Consider the channel shown in Figure 1. Suppose that:- \( a = 350 \, \text{mm} \)- \( b = 250 \, \text{mm} \)- \( c = 50 \, \text{mm} \)**Description of the Diagram:**The diagram illustrates a U-shaped channel with labeled dimensions. The base width of the channel is denoted as \( a = 350 \, \text{mm} \). The vertical height \( b = 250 \, \text{mm} \) is marked on the left side. The flange width \( c = 50 \, \text{mm} \) is shown on both the left and right sides of the channel.The diagram also includes axes labeled \( x \) and \( y \), denoting reference directions for understanding the geometry. These dimensions are essential in fields involving mechanical and civil engineering, where channel sizes can impact structural integrity and fluid flow. ### Part A#### Instructions:Determine the location \( \bar{y} \) of the centroid of the channel's cross-sectional area.Express your answer to three significant figures and include the appropriate units.#### Input Field:\[ \bar{y} = \boxed{\text{Value}} \quad \boxed{\text{Units}}\][Submit Button] [Request Answer Button]---### Part B#### Instructions:Determine the moment of inertia of the area about this axis.Express your answer to three significant figures and include the appropriate units.#### Input Field:\[ I_{x'} = \boxed{\text{Value}} \quad \boxed{\text{Units}}\][Submit Button] [Request Answer Button]#### Explanation:In both parts, ensure to compute the necessary values precisely with appropriate consideration of units, as required in engineering analysis.

Name: **Title: Understanding Channel Dimensions**Consider the channel shown
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: **Title: Understanding Channel Dimensions**Consider the channel shown in Figure 1. Suppose that:- \( a = 350 \, \text{mm} \)- \( b = 250 \, \text{mm} \)- \( c = 50 \, \text{mm} \)**Description of the Diagram:**The diagram illustrates a U-shaped chan