Answer:
28.3 unit
Explanation:
The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]Distance=AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The playground is at P(0, 0), point C is at (400, 300) an point D is at (250, -400). Hence:
[tex]Path\ C=\sqrt{(300-0)^2+(400-0)^2} =500\ unit\\\\Path\ D=\sqrt{(-400-0)^2+(250-0)^2} =471.7\ unit[/tex]
Therefore the difference in length between path C and path D = 500 - 471.7 = 28.3 unit
