Question

P[20,7)R(-4,-9)0(20,-9)S(-4,-24)What is the total length of the path from P to S?a.47 unitsb.55 unitsc.65 unitsd.73 units

Answer 1

Given

The coordinates of the points on the path are:

P(20,7), R(-4,-9), O(20, -9), S(-4, -24)

The total length of the path from P to S is:

`=\text{ \mid PR\mid}+|RO|\text{ +}|OS|`

The distance d between two points can be found using the formula:

`d\text{ = }\sqrt{(x_2-x_1)^2\text{ +}(y_2\text{ -y}_1)^2\text{ }}`

The distance between P and R:

`\begin{gathered} |PR|\text{ = }\sqrt{(-4-20)^2\text{ +}(-9\text{ -7\rparen}^2} \\ =\text{ 28.84 units} \end{gathered}`

The distance between R and O:

`\begin{gathered} |RO|\text{ = }\sqrt{(20-(-4))^2\text{ + \lparen-9-\lparen-9\rparen\rparen}^2} \\ =\text{ 24 units} \end{gathered}`

The distance between O and S: