A city is planning to design a new park, which will include a rectangular playground, a triangular garden, and a walkway that is perpendicular to one of the playground's sides. The playground's location and dimensions, as well as the garden's vertices, are provided on a coordinate plane.
Use the graph and information below as needed to answer the following questions.
• Coordinates of one corner: (2,3)
• Length along the x-axis: 6 units
• Width along the y-axis: 4 units
• Vertices: A(8,2), B(10,6), C(12,2)
• The walkway starts at (8,2) and extends to the line segment BC, going through the
garden and being perpendicular to BC.